Factorizations of 488...883

Table of contents

1. About 488...883
   • First ten terms
   • General term
2. Prime numbers of the form 488...883
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 488...883
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 488...883

First ten terms

43, 483, 4883, 48883, 488883, 4888883, 48888883, 488888883, 4888888883, 48888888883

General term

(44·10ⁿ-53)/9

2. Prime numbers of the form 488...883

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

18.80%

Results

1. (44·10¹-53)/9 = 43 is prime.
2. (44·10⁴-53)/9 = 48883 is prime.
3. (44·10¹⁰-53)/9 = 48888888883_<11> is prime.
4. (44·10¹²-53)/9 = 4(8)₁₁3_<13> is prime.
5. (44·10¹³-53)/9 = 4(8)₁₂3_<14> is prime.
6. (44·10⁴⁰-53)/9 = 4(8)₃₉3_<41> is prime.
7. (44·10⁷⁶-53)/9 = 4(8)₇₅3_<77> is prime.
8. (44·10¹²³-53)/9 = 4(8)₁₂₂3_<124> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
9. (44·10⁵⁰¹-53)/9 = 4(8)₅₀₀3_<502> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
10. (44·10⁶⁴⁸-53)/9 = 4(8)₆₄₇3_<649> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
11. (44·10³⁵⁴¹-53)/9 = 4(8)₃₅₄₀3_<3542> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
12. (44·10⁴⁰⁰²-53)/9 = 4(8)₄₀₀₁3_<4003> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
13. (44·10⁴²²⁸-53)/9 = 4(8)₄₂₂₇3_<4229> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
14. (44·10⁵²⁷¹-53)/9 = 4(8)₅₂₇₀3_<5272> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
15. (44·10⁷⁴³²-53)/9 = 4(8)₇₄₃₁3_<7433> is PRP. (Makoto Kamada / PFGW / Dec 28, 2004)

3. Factorizations of 488...883

Last update

Nov 5, 2009

Completed up to

• n≤100 / Jan 3, 2005
• n≤150 / Mar 8, 2009

Range

n≤205

Terms which have not been factored yet

n=174, 176, 177, 179, 180, 181, 182, 183, 184, 185, 188, 189, 191, 193, 194, 197, 198, 201, 203, 204 (20/205)

Results

(44·10¹-53)/9 =

43

= definitely prime number

(44·10²-53)/9 =

483

= 3 · 7 · 23

(44·10³-53)/9 =

4883

= 19 · 257

(44·10⁴-53)/9 =

48883

= definitely prime number

(44·10⁵-53)/9 =

488883

= 3 · 107 · 1523

(44·10⁶-53)/9 =

4888883

= 73 · 193 · 347

(44·10⁷-53)/9 =

48888883

= 47 · 1040189

(44·10⁸-53)/9 =

488888883

= 3² · 7 · 67 · 115823

(44·10⁹-53)/9 =

4888888883_<10>

= 17 · 31 · 503 · 18443

(44·10¹⁰-53)/9 =

48888888883_<11>

= definitely prime number

(44·10¹¹-53)/9 =

488888888883_<12>

= 3 · 631 · 6101 · 42331

(44·10¹²-53)/9 =

4888888888883_<13>

= definitely prime number

(44·10¹³-53)/9 =

48888888888883_<14>

= definitely prime number

(44·10¹⁴-53)/9 =

488888888888883_<15>

= 3 · 7 · 73 · 743 · 429219257

(44·10¹⁵-53)/9 =

4888888888888883_<16>

= 29 · 4783 · 35246158369_<11>

(44·10¹⁶-53)/9 =

48888888888888883_<17>

= 1061 · 46078123363703_<14>

(44·10¹⁷-53)/9 =

488888888888888883_<18>

= 3² · 523 · 1931 · 182813 · 294223

(44·10¹⁸-53)/9 =

4888888888888888883_<19>

= 9613 · 1168339 · 435293669

(44·10¹⁹-53)/9 =

48888888888888888883_<20>

= 89 · 61543 · 8925683803229_<13>

(44·10²⁰-53)/9 =

488888888888888888883_<21>

= 3 · 7 · 71 · 109 · 1009 · 18353 · 162445541

(44·10²¹-53)/9 =

4888888888888888888883_<22>

= 19 · 257309941520467836257_<21>

(44·10²²-53)/9 =

48888888888888888888883_<23>

= 43² · 73 · 3853 · 1186403 · 79235381

(44·10²³-53)/9 =

488888888888888888888883_<24>

= 3 · 487 · 3373 · 99207295379823811_<17>

(44·10²⁴-53)/9 =

4888888888888888888888883_<25>

= 23 · 31 · 5689 · 1205270989705260019_<19>

(44·10²⁵-53)/9 =

48888888888888888888888883_<26>

= 17 · 57733981517_<11> · 49811513391247_<14>

(44·10²⁶-53)/9 =

488888888888888888888888883_<27>

= 3⁴ · 7² · 613 · 60271 · 3333958552391609_<16>

(44·10²⁷-53)/9 =

4888888888888888888888888883_<28>

= 9433 · 518275086281022886556651_<24>

(44·10²⁸-53)/9 =

48888888888888888888888888883_<29>

= 145059841 · 358153597 · 941008730479_<12>

(44·10²⁹-53)/9 =

488888888888888888888888888883_<30>

= 3 · 17437457 · 9345569308813949359873_<22>

(44·10³⁰-53)/9 =

4888888888888888888888888888883_<31>

= 73 · 2953 · 4258070083_<10> · 5326121321220929_<16>

(44·10³¹-53)/9 =

48888888888888888888888888888883_<32>

= 35397983 · 1381120751679238020112301_<25>

(44·10³²-53)/9 =

488888888888888888888888888888883_<33>

= 3 · 7 · 61 · 6947 · 2500919 · 70790353 · 310305900967_<12>

(44·10³³-53)/9 =

4888888888888888888888888888888883_<34>

= 9887 · 494476473034175067147657417709_<30>

(44·10³⁴-53)/9 =

48888888888888888888888888888888883_<35>

= 39838836028052233_<17> · 1227166598302825051_<19>

(44·10³⁵-53)/9 =

488888888888888888888888888888888883_<36>

= 3² · 127 · 659 · 299197 · 2169308347608550248258547_<25>

(44·10³⁶-53)/9 =

4888888888888888888888888888888888883_<37>

= 698619269 · 7074379241_<10> · 989193535309566527_<18>

(44·10³⁷-53)/9 =

48888888888888888888888888888888888883_<38>

= 2957 · 16533273212339833915755457858941119_<35>

(44·10³⁸-53)/9 =

488888888888888888888888888888888888883_<39>

= 3 · 7 · 73 · 614927 · 518614254945715249801684295713_<30>

(44·10³⁹-53)/9 =

4888888888888888888888888888888888888883_<40>

= 19 · 31 · 223 · 431 · 727 · 1229 · 96655471851923594646806093_<26>

(44·10⁴⁰-53)/9 =

48888888888888888888888888888888888888883_<41>

= definitely prime number

(44·10⁴¹-53)/9 =

488888888888888888888888888888888888888883_<42>

= 3 · 17 · 67 · 143075472311644392416999967482847201899_<39>

(44·10⁴²-53)/9 =

4888888888888888888888888888888888888888883_<43>

= 4591 · 1868882831_<10> · 569797841868763742052976243123_<30>

(44·10⁴³-53)/9 =

48888888888888888888888888888888888888888883_<44>

= 29 · 43 · 541 · 119417 · 606848512649192941188517287338137_<33>

(44·10⁴⁴-53)/9 =

488888888888888888888888888888888888888888883_<45>

= 3² · 7 · 23021237 · 92254531 · 3653871385948608503405814803_<28>

(44·10⁴⁵-53)/9 =

4888888888888888888888888888888888888888888883_<46>

= 307 · 977 · 1327 · 12283052411787153538322922668952958111_<38>

(44·10⁴⁶-53)/9 =

48888888888888888888888888888888888888888888883_<47>

= 23 · 73 · 1394683 · 3519897211_<10> · 5931355879892785569160091429_<28>

(44·10⁴⁷-53)/9 =

488888888888888888888888888888888888888888888883_<48>

= 3 · 317 · 2843 · 27500900149_<11> · 6575153274546973876975620562019_<31>

(44·10⁴⁸-53)/9 =

4888888888888888888888888888888888888888888888883_<49>

= 97 · 81083 · 25841902577_<11> · 47344185131_<11> · 508062911933964870859_<21>

(44·10⁴⁹-53)/9 =

48888888888888888888888888888888888888888888888883_<50>

= 59 · 72707 · 250687 · 7218533743_<10> · 22778396699_<11> · 276489073890280649_<18>

(44·10⁵⁰-53)/9 =

488888888888888888888888888888888888888888888888883_<51>

= 3 · 7 · 4327 · 5380268842251740333552212452143120042357389249_<46>

(44·10⁵¹-53)/9 =

4888888888888888888888888888888888888888888888888883_<52>

= 373 · 25537 · 861818474857_<12> · 595546475653615136821081260723119_<33>

(44·10⁵²-53)/9 =

48888888888888888888888888888888888888888888888888883_<53>

= 366574363 · 1893426001_<10> · 23169413881_<11> · 3040077774120054586863361_<25>

(44·10⁵³-53)/9 =

488888888888888888888888888888888888888888888888888883_<54>

= 3³ · 47 · 263 · 35159 · 5198196793_<10> · 216390095804387_<15> · 37039591304744024981_<20>

(44·10⁵⁴-53)/9 =

4888888888888888888888888888888888888888888888888888883_<55>

= 31 · 73 · 71989147 · 65369130791_<11> · 4666367208533_<13> · 98380032949156992101_<20>

(44·10⁵⁵-53)/9 =

48888888888888888888888888888888888888888888888888888883_<56>

= 71 · 1319 · 2707652604915604079_<19> · 192803129849521442311224871080173_<33>

(44·10⁵⁶-53)/9 =

488888888888888888888888888888888888888888888888888888883_<57>

= 3 · 7 · 5892721 · 362038623293_<12> · 1773120478511_<13> · 6154345062118745156061581_<25>

(44·10⁵⁷-53)/9 =

4888888888888888888888888888888888888888888888888888888883_<58>

= 17 · 19 · 15135878912968696250429996560027519779841761265909872721_<56>

(44·10⁵⁸-53)/9 =

48888888888888888888888888888888888888888888888888888888883_<59>

= 107 · 456905503634475597092419522326064382139148494288681204569_<57>

(44·10⁵⁹-53)/9 =

488888888888888888888888888888888888888888888888888888888883_<60>

= 3 · 6781 · 5980829 · 8735453 · 172532090910380387_<18> · 2666112465724876510082399_<25>

(44·10⁶⁰-53)/9 =

4888888888888888888888888888888888888888888888888888888888883_<61>

= 16590711889_<11> · 8958906730259090820763_<22> · 32891988540903537729879874169_<29>

(44·10⁶¹-53)/9 =

48888888888888888888888888888888888888888888888888888888888883_<62>

= 2889763236989_<13> · 448548956261958527_<18> · 37717079297136198989386030540561_<32>

(44·10⁶²-53)/9 =

488888888888888888888888888888888888888888888888888888888888883_<63>

= 3² · 7 · 73 · 113 · 1439 · 20353 · 171049 · 1841579 · 110739269 · 23766471925621_<14> · 38743765287343313_<17>

(44·10⁶³-53)/9 =

4888888888888888888888888888888888888888888888888888888888888883_<64>

= 89 · 99713 · 21940033483_<11> · 1708983887247029718769_<22> · 14692412855997878830627697_<26>

(44·10⁶⁴-53)/9 =

48888888888888888888888888888888888888888888888888888888888888883_<65>

= 43 · 29533092621001795020164173407163_<32> · 38497522727580780915994345276987_<32>

(44·10⁶⁵-53)/9 =

488888888888888888888888888888888888888888888888888888888888888883_<66>

= 3 · 162962962962962962962962962962962962962962962962962962962962962961_<66>

(44·10⁶⁶-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888883_<67>

= 3064836310006121638915281325303_<31> · 1595154975463966597979643501197501861_<37>

(44·10⁶⁷-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888883_<68>

= 4519 · 259343957 · 1080469892233_<13> · 38608152786238769023300966987516542955624697_<44>

(44·10⁶⁸-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888883_<69>

= 3 · 7² · 23 · 227 · 3631 · 405362411 · 2667301578827_<13> · 162254702986459491469803304702657089787_<39>

(44·10⁶⁹-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888883_<70>

= 31 · 181 · 191 · 485171 · 9402464385768788816656371762277159551427986144531880549373_<58>

(44·10⁷⁰-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888883_<71>

= 73 · 69988078086643_<14> · 9568926951644929142070583422142055932203379251917338297_<55>

(44·10⁷¹-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888883_<72>

= 3² · 29 · 149 · 491² · 3967 · 13144927846574166297428138744607774339174910946387941566061_<59>

(44·10⁷²-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888883_<73>

= 4317571 · 106677709 · 10614437856809768608629453650630280570480331512999807440597_<59>

(44·10⁷³-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888883_<74>

= 17 · 16139 · 450906503 · 8135814851_<10> · 565431440357970795113_<21> · 85904737524980496794206038269_<29>

(44·10⁷⁴-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888883_<75>

= 3 · 7 · 67 · 131 · 142061 · 123155727571489_<15> · 151605617002295170785877551248110877825487297057131_<51>

(44·10⁷⁵-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888883_<76>

= 19 · 14891 · 4644919679_<10> · 12451101067_<11> · 298776706521834498788327725367961166398111035498039_<51>

(44·10⁷⁶-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888883_<77>

= definitely prime number

(44·10⁷⁷-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888883_<78>

= 3 · 127 · 613 · 4909 · 288649 · 23339134969_<11> · 63296088378756625163585349020091056049685504351253359_<53>

(44·10⁷⁸-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888883_<79>

= 73 · 218968151 · 13967678789357_<14> · 281280773073395760020197_<24> · 77847033856686504120430567936349_<32>

(44·10⁷⁹-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888883_<80>

= 593119 · 59923662709871_<14> · 10653968447762771_<17> · 129109611249509624865115919139809392881659377_<45>

(44·10⁸⁰-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888883_<81>

= 3³ · 7 · 1567 · 9276419 · 12983110266392365170876341609_<29> · 13706300970223821377555903189722583426371_<41>

(44·10⁸¹-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888883_<82>

= 167 · 857 · 191878710710590249739393975395567253_<36> · 178027085625469357369821696582216504110569_<42> (Makoto Kamada / msieve 0.83 / 18 minutes)

(44·10⁸²-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888883_<83>

= 22787896625623750033844630804198257_<35> · 2145388391569057453850803189598108699388794946019_<49> (Makoto Kamada / GGNFS-0.70.1 / 0.15 hours)

(44·10⁸³-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888883_<84>

= 3 · 3355539085103828026037_<22> · 48565359791635542079230692377748295403281400165362309982259053_<62>

(44·10⁸⁴-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<85>

= 31 · 1031 · 1709 · 89505092393248817214105951299168552004984148027704128817632989783699573016567_<77>

(44·10⁸⁵-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<86>

= 43 · 883 · 309493 · 24603569 · 198234355597830401759677_<24> · 853008076539993018158031735117750127295442323_<45>

(44·10⁸⁶-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<87>

= 3 · 7 · 73 · 73847 · 303941597 · 14208394736779370355864628528522951461971282228101360009185872979709789_<71>

(44·10⁸⁷-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<88>

= 5909777 · 146866386761_<12> · 3265912153005167_<16> · 1724694444042815096040768487317053971988974639815797317_<55>

(44·10⁸⁸-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<89>

= 12642883193_<11> · 95813200029576333948939944080288943_<35> · 40358841959182561421892386135225816218006117_<44> (Makoto Kamada / GGNFS-0.70.3 / 0.17 hours)

(44·10⁸⁹-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<90>

= 3² · 17 · 6373 · 501389018509345378520790722388763142802087738292253049670217070677961138020887638607_<84>

(44·10⁹⁰-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<91>

= 23 · 71 · 179826979049023109597887_<24> · 16648270888057371195708895944339672382990234940301603294161702573_<65>

(44·10⁹¹-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<92>

= 1846861 · 3754133 · 11270262511_<11> · 45927891570252107993_<20> · 1844467328699460191887_<22> · 7385583195758844775368871291_<28>

(44·10⁹²-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<93>

= 3 · 7 · 61 · 439 · 1667 · 339433 · 925019 · 1660948632413737258292397385513460382510880816351695786612707085627839693_<73>

(44·10⁹³-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<94>

= 19 · 453339810729794355531339337538517339033961_<42> · 567587349335691018269779021109379638281367773287737_<51> (Makoto Kamada / GGNFS-0.70.5 / 0.30 hours)

(44·10⁹⁴-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<95>

= 73 · 3712650604181_<13> · 162870988862123_<15> · 29403800969264221_<17> · 37666565251333838059965876538034105695353422598577_<50>

(44·10⁹⁵-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<96>

= 3 · 26195963090071433214430378284448750501499_<41> · 6220918940931313654798000200337963549204821073324845539_<55> (Makoto Kamada / GGNFS-0.70.5 / 0.38 hours)

(44·10⁹⁶-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<97>

= 269 · 2399 · 12841 · 989554073454797_<15> · 89875226340953617340682399997_<29> · 6633599765998783781158250991628707957595297_<43>

(44·10⁹⁷-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<98>

= 16063 · 8905447 · 4577766179982253_<16> · 74657626370747171670719688861950780164968886451432447333151902206226551_<71>

(44·10⁹⁸-53)/9 =

488888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<99>

= 3² · 7 · 2341 · 4597 · 5228794789955967845776970638902040307_<37> · 137908839011149001159234710088431150321167393967028519_<54> (Makoto Kamada / GGNFS-0.70.5 / 0.48 hours)

(44·10⁹⁹-53)/9 =

4888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<100>

= 29 · 31 · 47 · 709 · 6571 · 25229 · 106123 · 50587007 · 183369193425407822288076071337792151934464170192729540581799563475790121_<72>

(44·10¹⁰⁰-53)/9 =

48888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888883_<101>

= 1109 · 1630839221008589_<16> · 8942898416163902191_<19> · 3022659143639978489218363850667036655060431525438297296813536813_<64>

(44·10¹⁰¹-53)/9 =

4(8)₁₀₀3_<102>

= 3 · 196581233 · 176173566122453_<15> · 4705503623010198358103259601009432214247493347113933958581665918506225787416989_<79>

(44·10¹⁰²-53)/9 =

4(8)₁₀₁3_<103>

= 73 · 32938203119_<11> · 502287546547_<12> · 35213663319004627527233_<23> · 307211280563315906301422299_<27> · 374185217838677662601240018741_<30>

(44·10¹⁰³-53)/9 =

4(8)₁₀₂3_<104>

= 1152196492916407_<16> · 42431034280570255422140569082943637704892230040448443783503249779535022458803439546042469_<89>

(44·10¹⁰⁴-53)/9 =

4(8)₁₀₃3_<105>

= 3 · 7 · 1811 · 29683 · 149993 · 2887311485265918115415875610285595653322339379642424347280105859055122181027365556556556247_<91>

(44·10¹⁰⁵-53)/9 =

4(8)₁₀₄3_<106>

= 17 · 100285807 · 2867621131536641359012745788050774481148598266275980425618416823716223073666251924121396295530157_<97>

(44·10¹⁰⁶-53)/9 =

4(8)₁₀₅3_<107>

= 43 · 1153 · 53327 · 3827417838493_<13> · 3693705631997291_<16> · 367906221747896433039304146571757_<33> · 3555166632544154220342474228923688461_<37> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2717902813 for P33 / Feb 23, 2009)

(44·10¹⁰⁷-53)/9 =

4(8)₁₀₆3_<108>

= 3⁴ · 59 · 67 · 89 · 23993 · 345757 · 258883652613171799_<18> · 7988185921761261764275366512436295857590448806393090739855449899412851321_<73>

(44·10¹⁰⁸-53)/9 =

4(8)₁₀₇3_<109>

= 5011 · 187928831881031867158711_<24> · 5191493923296508450094963695724607843194703414216428865072460953654803937018570023_<82>

(44·10¹⁰⁹-53)/9 =

4(8)₁₀₈3_<110>

= 3037 · 5857 · 7441417 · 1838183647789_<13> · 200930382342458855112975280566928053472276630400766071430906223127011287103571621299_<84>

(44·10¹¹⁰-53)/9 =

4(8)₁₀₉3_<111>

= 3 · 7² · 73 · 233 · 761 · 60433935059_<11> · 5206728456358460814368918326710497623619_<40> · 816551520937130805126208331277646872665420305239041_<51> (Robert Backstrom / Msieve 1.39 for P40 x P51 / 1.78 hours / Feb 26, 2009)

(44·10¹¹¹-53)/9 =

4(8)₁₁₀3_<112>

= 19 · 107 · 15072748997352795060939680449363695294889116749_<47> · 159543943113817436805969360550316504075555966470480954857298799_<63> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.55 hours on Core 2 Quad Q6700 / Feb 26, 2009)

(44·10¹¹²-53)/9 =

4(8)₁₁₁3_<113>

= 23 · 5313041 · 4190381647_<10> · 12319190903_<11> · 7750030282596226932297488085130659419092215445562287290120629868622085184195453779741_<85>

(44·10¹¹³-53)/9 =

4(8)₁₁₂3_<114>

= 3 · 61343 · 1044839 · 1395293 · 1380298277875431221_<19> · 6290935363398994858685689_<25> · 209855782912632184178242421378332551337627422822138529_<54>

(44·10¹¹⁴-53)/9 =

4(8)₁₁₃3_<115>

= 31 · 549719 · 232365916894871_<15> · 6299229481188726457_<19> · 195996298133481069082736620518081398137862573109041269918673383593117564101_<75>

(44·10¹¹⁵-53)/9 =

4(8)₁₁₄3_<116>

= 42209 · 1359769 · 296301799249_<12> · 6446564538925735977373_<22> · 445940939443132362102533825833636906483829200209387304639462678762248599_<72>

(44·10¹¹⁶-53)/9 =

4(8)₁₁₅3_<117>

= 3² · 7 · 179 · 5147 · 43599858353033_<14> · 1000209511014051839_<19> · 2759999527880603164553_<22> · 69980550141879118056282519103461978354099013888680613987_<56>

(44·10¹¹⁷-53)/9 =

4(8)₁₁₆3_<118>

= 258763 · 2205850711_<10> · 10399852003_<11> · 1260090204324169_<16> · 6173940971961592990529_<22> · 325006388837197735837442411_<27> · 325723210803740515781894400407_<30>

(44·10¹¹⁸-53)/9 =

4(8)₁₁₇3_<119>

= 73 · 677 · 61345788390668231521_<20> · 735595266475383885413_<21> · 41463792907368638632687_<23> · 528695888918584635018658787288783169259243930466173_<51>

(44·10¹¹⁹-53)/9 =

4(8)₁₁₈3_<120>

= 3 · 127 · 619 · 2753 · 16876139047_<11> · 9214020849983_<13> · 388783231634689814543_<21> · 12455424109358065156680233214930540177940762239755482691954490567643_<68>

(44·10¹²⁰-53)/9 =

4(8)₁₁₉3_<121>

= 853317817369_<12> · 424034825238667_<15> · 1574069629614798083_<19> · 8583687291514150726402017878205637670851336684516855486531676563185341677387_<76>

(44·10¹²¹-53)/9 =

4(8)₁₂₀3_<122>

= 17 · 8353 · 9978850461942601_<16> · 34501521662123063568974457684352640534523910575572489350096615966459985029849064599620369582584067083_<101>

(44·10¹²²-53)/9 =

4(8)₁₂₁3_<123>

= 3 · 7 · 23280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423280423_<122>

(44·10¹²³-53)/9 =

4(8)₁₂₂3_<124>

= definitely prime number

(44·10¹²⁴-53)/9 =

4(8)₁₂₃3_<125>

= 27857387 · 27098180189257291_<17> · 105879858460003669738444647465173_<33> · 611668775478348043887642134207958264068062222551430503567302962499263_<69> (Erik Branger / GGNFS, Msieve snfs / 2.66 hours / Feb 26, 2009)

(44·10¹²⁵-53)/9 =

4(8)₁₂₄3_<126>

= 3² · 71 · 571 · 30429810494761178782216697_<26> · 21359195843830967403453380962112507429977_<41> · 2061527132411459461397036590954458932353735933027377703_<55> (Robert Backstrom / Msieve 1.39 for P41 x P55 / 1.9 hours / Feb 26, 2009)

(44·10¹²⁶-53)/9 =

4(8)₁₂₅3_<127>

= 73 · 317 · 4919 · 3545494402007059181_<19> · 77079548350434842095459_<23> · 157157552582325622742128629012573730210569898521003799440622499601069176666263_<78>

(44·10¹²⁷-53)/9 =

4(8)₁₂₆3_<128>

= 29 · 43 · 569 · 853 · 107370001266522413_<18> · 213407667354192963615703_<24> · 3525246085255964521456904263826667156339181602757951301810391839284245096724643_<79>

(44·10¹²⁸-53)/9 =

4(8)₁₂₇3_<129>

= 3 · 7 · 109 · 613 · 11383 · 11596514298237038639067575234023927441349_<41> · 2639488026190419162144058720175270446979675692915179501209940086668045827264157_<79> (Erik Branger / GGNFS, Msieve snfs / 2.71 hours / Feb 26, 2009)

(44·10¹²⁹-53)/9 =

4(8)₁₂₈3_<130>

= 19 · 31 · 1904637519067_<13> · 105441685305072759250343963660885215379364893_<45> · 41330456138185682306653571302025199180323207767883057670613596493709137_<71> (Erik Branger / GGNFS, Msieve snfs / 2.55 hours / Feb 26, 2009)

(44·10¹³⁰-53)/9 =

4(8)₁₂₉3_<131>

= 1307 · 63589 · 194576853533_<12> · 208937657478578050313_<21> · 15562460489420706439094389_<26> · 929750509059115518749320786318005486985605126827110593115817986541_<66>

(44·10¹³¹-53)/9 =

4(8)₁₃₀3_<132>

= 3 · 4238603852800715082889157_<25> · 8349657394916783525951778817_<28> · 4604658513705326804595507571874760772087628717910791052673845862687177485320669_<79>

(44·10¹³²-53)/9 =

4(8)₁₃₁3_<133>

= 1110220553312655297808882682723776743181104103_<46> · 4403529437733352862117465895923540771817098994724462891230371415746741912312872108706261_<88> (Robert Backstrom / GMP-ECM 6.0 B1=20000000, sigma=2504866877 for P46 / Mar 8, 2009)

(44·10¹³³-53)/9 =

4(8)₁₃₂3_<134>

= 5503 · 30015385761743_<14> · 1871726874868403549368299242963_<31> · 495734080838786185421476705762651163551513_<42> · 318988827191362814263302991875174498733463833_<45> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3430352986 for P31 / Feb 23, 2009) (Makoto Kamada / Msieve-1.39 for P42 x P45 / 34 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Feb 25, 2009)

(44·10¹³⁴-53)/9 =

4(8)₁₃₃3_<135>

= 3³ · 7 · 23 · 73 · 8377 · 80597045101050015188887_<23> · 495244419567242627256023928274031633_<36> · 4607554076140130989680844131057203195405754342685178905018685195279_<67> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2780085016 for P36 / Feb 23, 2009)

(44·10¹³⁵-53)/9 =

4(8)₁₃₄3_<136>

= 1097 · 7356997 · 4215858307_<10> · 332560041044241248900484291976845162767167_<42> · 432062813561467316727657432335915267712627225383416457686955661487805189323_<75> (Ignacio Santos / GGNFS, Msieve snfs / 3.60 hours / Feb 26, 2009)

(44·10¹³⁶-53)/9 =

4(8)₁₃₅3_<137>

= 6421 · 50767 · 61487 · 187897 · 213038767695360979_<18> · 51241537650039712642241_<23> · 115203357037689258780554701_<27> · 10322310467736906725010885403304787053581359680585689_<53>

(44·10¹³⁷-53)/9 =

4(8)₁₃₆3_<138>

= 3 · 17 · 85595677 · 618607723 · 21435327662336807_<17> · 8445836999603425798378089308006700459847722367483114831463141568793531223432523436137948003811556554889_<103>

(44·10¹³⁸-53)/9 =

4(8)₁₃₇3_<139>

= 71069 · 311203 · 11813488787_<11> · 447936565283_<12> · 30077226427753_<14> · 143407405616171_<15> · 4461326544415651_<16> · 6683735411080549_<16> · 2370403970065867789_<19> · 137017647537687135066188403173_<30>

(44·10¹³⁹-53)/9 =

4(8)₁₃₈3_<140>

= 18611081 · 175189039 · 500469737 · 4970699879_<10> · 49324761153026937463409_<23> · 1284826504978821642371011062935573657177_<40> · 95110134552463454719916746103926522035830483_<44> (Makoto Kamada / Msieve-1.39 for P40 x P44 / 19 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Feb 25, 2009)

(44·10¹⁴⁰-53)/9 =

4(8)₁₃₉3_<141>

= 3 · 7 · 67 · 108943 · 1881005911777981_<16> · 4277223067083172513_<19> · 396428325841037230386386002011782679022541540465898697552549228352867395732662695403813413729390911_<99>

(44·10¹⁴¹-53)/9 =

4(8)₁₄₀3_<142>

= 39161 · 123787 · 171881 · 6897173 · 269695261837_<12> · 6199736064021385889457145645067_<31> · 8369302132878724900360524015317_<31> · 60792023715215966066345455742641376351243291791_<47> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=1434853449 for P31 / Feb 26, 2009) (Robert Backstrom / GMP-ECM 6.2.1 B1=452000, sigma=880082943 for P31 / Feb 27, 2009)

(44·10¹⁴²-53)/9 =

4(8)₁₄₁3_<143>

= 73 · 51241 · 269791 · 982140021434453201963_<21> · 43943076843581367629986053731_<29> · 1285857437134280721777121445597_<31> · 872942343712081716553359699854588255732732080955201_<51> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=734255332 for P31 / Feb 23, 2009)

(44·10¹⁴³-53)/9 =

4(8)₁₄₂3_<144>

= 3² · 471671 · 5072605471_<10> · 3166361761003036680303142908682110958372709395350709_<52> · 7170292373088502235906232820143055411742367312635436307677957012591149333623_<76> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 19.94 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 27, 2009)

(44·10¹⁴⁴-53)/9 =

4(8)₁₄₃3_<145>

= 31 · 97 · 719 · 3343 · 8461 · 844469 · 94668624153572774624044903539433216391686468102144011051753231540257356308262605899389354875786279884892653339572880287822973_<125>

(44·10¹⁴⁵-53)/9 =

4(8)₁₄₄3_<146>

= 47 · 7541311 · 3434080499_<10> · 15078040059653843_<17> · 4609203926204234337825563_<25> · 3300478409150310224726282922604503371_<37> · 175108518816807736756445196730843852919619017297459_<51> (Makoto Kamada / Msieve-1.39 for P37 x P51 / 33 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Feb 25, 2009)

(44·10¹⁴⁶-53)/9 =

4(8)₁₄₅3_<147>

= 3 · 7 · 124468269666617_<15> · 187039020810515887287198908861603959437120288483552905160429573428816620506572435487099794054149012608415306918877747292217530209119_<132>

(44·10¹⁴⁷-53)/9 =

4(8)₁₄₆3_<148>

= 19 · 571409 · 3517753 · 3475669267027213_<16> · 154876128018012088315013_<24> · 237805131186917184620502456896152887038077413258098693524450653319681842811320231723199092964889_<96>

(44·10¹⁴⁸-53)/9 =

4(8)₁₄₇3_<149>

= 43 · 17981 · 5963047691838799_<16> · 10603752627671205587456925203756286952789686230958783725286394614899872865314293966925493777311812037099973902264095357561603299_<128>

(44·10¹⁴⁹-53)/9 =

4(8)₁₄₈3_<150>

= 3 · 1747 · 7829 · 3575125992133021_<16> · 549889101816686077_<18> · 6060706460286035992243284192251386941975433119004041899596869498313550557636493904992992806215232411937072391_<109>

(44·10¹⁵⁰-53)/9 =

4(8)₁₄₉3_<151>

= 73 · 2423122503947_<13> · 10745389332488192850163_<23> · 649123410866531761375364371_<27> · 489051858734484746632545324731_<30> · 8102286463493386156942470745741937922682439942553526528811_<58> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3585974343 for P30 / Feb 23, 2009)

(44·10¹⁵¹-53)/9 =

4(8)₁₅₀3_<152>

= 89 · 3828689299_<10> · 1223424440156560969442482741818564284725731966756254692657813_<61> · 117271609007689616091476396520146862786413933843883272607744325347034802241242981_<81> (Sinkiti Sibata / Msieve / 20.66 hours / Feb 28, 2009)

(44·10¹⁵²-53)/9 =

4(8)₁₅₁3_<153>

= 3² · 7² · 61 · 52879 · 151483 · 863309 · 30162028711130935849_<20> · 87130016070632574458572360170805843295987444493790765356963539980733438601123692854772233115953900337609409653759_<113>

(44·10¹⁵³-53)/9 =

4(8)₁₅₂3_<154>

= 17 · 1283 · 4019 · 200326200647338176783717118787364154206526143935667093756398611_<63> · 278406152648363885257167153873463163169044380062157145420913892618617561178604359417_<84> (Sinkiti Sibata / Msieve / 21.35 hours / Feb 27, 2009)

(44·10¹⁵⁴-53)/9 =

4(8)₁₅₃3_<155>

= 5513816481421_<13> · 40624599471107151435553_<23> · 218257294617014014973914535996026376444827403726380806936539990471205278789168323247203188671095122559318974262658247391_<120>

(44·10¹⁵⁵-53)/9 =

4(8)₁₅₄3_<156>

= 3 · 29 · 593 · 2267 · 8209 · 29669 · 17162934169372190408979058357604970738483987172801028831304515318455975869447895367010927578421426652008241005661293953789843275222332519059_<140>

(44·10¹⁵⁶-53)/9 =

4(8)₁₅₅3_<157>

= 23 · 54439171 · 22678645829390954202749404051050551174900006487478899476556840123289_<68> · 172168505322445876370816162423063654892260575030429034434333933237155428621798959_<81> (Ignacio Santos / GGNFS, Msieve snfs / 25.70 hours / Feb 26, 2009)

(44·10¹⁵⁷-53)/9 =

4(8)₁₅₆3_<158>

= 16979 · 10685377 · 401147754664817_<15> · 671744073523137603314391996914361483861758375764321799141986042885655104552051663423842298147055469225660978010200485483608683683953_<132>

(44·10¹⁵⁸-53)/9 =

4(8)₁₅₇3_<159>

= 3 · 7 · 73² · 54509321 · 25260622407547_<14> · 479667649757865871_<18> · 6614391599790971298897131626015281473571280693274876730082489127714833962954841232399742094459070161590334347996131_<115>

(44·10¹⁵⁹-53)/9 =

4(8)₁₅₈3_<160>

= 31 · 513427 · 12961033 · 33741167 · 702376631549133941519730696622289132608823397041185233258309933334626087357532683597839021820505782703163927052748714305948065130864950569_<138>

(44·10¹⁶⁰-53)/9 =

4(8)₁₅₉3_<161>

= 71 · 70301936433490019_<17> · 9794550972218821829667516732433567901463108108317556310388245268278724644720815950427780179239722249463942004400175895627497025050689931906567_<142>

(44·10¹⁶¹-53)/9 =

4(8)₁₆₀3_<162>

= 3³ · 127 · 557 · 809 · 270753400153194627352563532766388049026002628614359930789354579172611_<69> · 1168597750273654958778265117257632928376975109003170721228878788746067186593553414889_<85> (Ignacio Santos / GGNFS, Msieve snfs / 38.09 hours / Feb 27, 2009)

(44·10¹⁶²-53)/9 =

4(8)₁₆₁3_<163>

= 172198003604708942074262897_<27> · 28391089249278595551550331121017692819580291359844995180270178911113451834635159266923161377639881873095260135522171046830664133685664739_<137>

(44·10¹⁶³-53)/9 =

4(8)₁₆₂3_<164>

= 30585951059_<11> · 3409381221648677307546535609243234419019084991_<46> · 468826997834597142439467798015574281037728660247030807287630943512703579760743270536065940594634112718677407_<108> (Ignacio Santos / GGNFS, Msieve snfs / 43.07 hours / Feb 28, 2009)

(44·10¹⁶⁴-53)/9 =

4(8)₁₆₃3_<165>

= 3 · 7 · 107 · 191 · 2011 · 74353 · 977464297 · 8323776453036833_<16> · 9095888398974523051_<19> · 7862625727717047507506747886063428866231417793_<46> · 13092697172411652719473407661621196298322843061510254562777291_<62> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P46 x P62 / 21.84 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 28, 2009)

(44·10¹⁶⁵-53)/9 =

4(8)₁₆₄3_<166>

= 19 · 59 · 910453689839_<12> · 4790123317827032702771477408466245560707264083846830138874917442601288584580391569978866395580807246826987540924760831476174823540999804682473390057757_<151>

(44·10¹⁶⁶-53)/9 =

4(8)₁₆₅3_<167>

= 73 · 9159575847367511614247_<22> · 773799695963263471614555629_<27> · 94489464763247018499033064230462387866102185202129311575292951005368699803622548648057641752019598654707926257247617_<116>

(44·10¹⁶⁷-53)/9 =

4(8)₁₆₆3_<168>

= 3 · 307261 · 240176965948327227964428493955389903582874479604862156178867_<60> · 2208259555617665688706709242812968313599814381853752897676508469902040009732755649720367881553125991303_<103> (Ignacio Santos / GGNFS, Msieve snfs / 59.50 hours / Mar 3, 2009)

(44·10¹⁶⁸-53)/9 =

4(8)₁₆₇3_<169>

= 229 · 2251 · 3315574853_<10> · 2860489465088800021046665924094993458814014484055284065955125912809528669835097464995706679791649741138964577711576946834506673543704603806657299695079809_<154>

(44·10¹⁶⁹-53)/9 =

4(8)₁₆₈3_<170>

= 17 · 43 · 1630423 · 21750516732549499949_<20> · 489641797116893462699294028241035350517514338379_<48> · 3851628881325874837178721243483272939017889163594114474066555739511475683749623855910191557521_<94> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 33.52 hours on Core 2 Quad Q6700 / Aug 29, 2009)

(44·10¹⁷⁰-53)/9 =

4(8)₁₆₉3_<171>

= 3² · 7 · 9437 · 15530941453_<11> · 2292642669168448055304163075564111519_<37> · 309383401453904318103572359005677794938603540643389041_<54> · 74645649139320830256619174883931685521648798111908759101775184539_<65> (Ignacio Santos / GGNFS, Msieve snfs / 56.02 hours / May 6, 2009)

(44·10¹⁷¹-53)/9 =

4(8)₁₇₀3_<172>

= 75059015380479339613706194125465158146139625871231697571901_<59> · 65133933133905008261265014533189153316103348018734416649842781849800236873376647775219658789236125956277334331183_<113> (Ignacio Santos / GGNFS, Msieve snfs / 84.05 hours / Feb 27, 2009)

(44·10¹⁷²-53)/9 =

4(8)₁₇₁3_<173>

= 272876978417770217_<18> · 179160914095291669967777674700567912040850959044062965489131850598370246253592603422858449888456224103687143406032884489216278357835926046510858142243482299_<156>

(44·10¹⁷³-53)/9 =

4(8)₁₇₂3_<174>

= 3 · 67 · 3944329 · 415610269 · 11131979663093_<14> · 1226303529314661261475899177523_<31> · 161092984403144277389915479832198237_<36> · 674695319767660957418840928193075525006722337342692616535117966899830595697381_<78> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=810552258 for P31 / Feb 23, 2009) (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1013859372 for P36 / Feb 23, 2009)

(44·10¹⁷⁴-53)/9 =

4(8)₁₇₃3_<175>

= 31 · 73 · 113 · 2477 · 1873282402171_<13> · [4120196318215502492045729973979201797354695244352477644779531666992825446451085293391156602887675116080907781955694267416539581971019461052333145856805771_<154>] SUBMIT/RESERVE

(44·10¹⁷⁵-53)/9 =

4(8)₁₇₄3_<176>

= 1213 · 741319127 · 45225052130477_<14> · 421763413743663053_<18> · 2850336804803725706833472971195570470235886793297810506459861925791620439509224550397345155424011586141329928657908214087592888292193_<133>

(44·10¹⁷⁶-53)/9 =

4(8)₁₇₅3_<177>

= 3 · 7 · 31601612335002643_<17> · [736684667656573015982597552421435284907888653997225514461014244113521430001847759939106459507516271227963029114082946810420453252864173493929201548439880434461_<159>] SUBMIT/RESERVE

(44·10¹⁷⁷-53)/9 =

4(8)₁₇₆3_<178>

= 148912021 · [32830720153135849851160699033752882105393552404267543242119377917037932678980220736436643277367707533086861327930596609718223412526842872469569725931588081051488038624423_<170>] SUBMIT/RESERVE

(44·10¹⁷⁸-53)/9 =

4(8)₁₇₇3_<179>

= 23 · 45631 · 46582451945701376627911125339932796343531608363963942217856176044402393194642552201724884674023941474654329092530429722060507005524361193133280758684160071279621013640506491_<173>

(44·10¹⁷⁹-53)/9 =

4(8)₁₇₈3_<180>

= 3² · 347 · 613 · [255374605235841059721034585208668040930280933540442138179600432767092381937563114527791170434631907396989284307445255084697019215371972555819810232291642906671435207022615917_<174>] SUBMIT/RESERVE

(44·10¹⁸⁰-53)/9 =

4(8)₁₇₉3_<181>

= 3555089 · 42649133 · 469393710681019_<15> · 54833824894893046741_<20> · [1252747876927273663343656093020337622715980894042605754365567664566086626537131010787406141286841934415354821280977389120750605494121_<133>] SUBMIT/RESERVE

(44·10¹⁸¹-53)/9 =

4(8)₁₈₀3_<182>

= 227 · 1091 · 1201 · [164367727914335849634023654667022730498639204623697956327093486479646577916035542687714182846664380333985159334225873256815292198715802936053878931325696295418846575446933419_<174>] SUBMIT/RESERVE

(44·10¹⁸²-53)/9 =

4(8)₁₈₁3_<183>

= 3 · 7 · 73 · 90149 · 41140129 · [85988713119497862045620535672181980063666065134648889925148837778150384093793783712886712664122370005157538558412475747216942994598688633379831163242600774304662420131_<167>] SUBMIT/RESERVE

(44·10¹⁸³-53)/9 =

4(8)₁₈₂3_<184>

= 19 · 29 · 1859653 · [4771189358527673345090500319339661684702319261386636447532099685569219861267591347649225628750687053842985877348789439907334515471619066057277913328731341193071229757044617361_<175>] SUBMIT/RESERVE

(44·10¹⁸⁴-53)/9 =

4(8)₁₈₃3_<185>

= 443 · 33875414275090079_<17> · [3257780547485647306159019001698790748121392105136099396246046655578228176676266199500131211318916253361160798008824095727455646326714056807656731275653973648550802039_<166>] SUBMIT/RESERVE

(44·10¹⁸⁵-53)/9 =

4(8)₁₈₄3_<186>

= 3 · 17 · 981713 · 16344827 · 3006309913_<10> · 102686195087102330337121_<24> · [1935215393510587228105136892621526506332949071084492603905336542246680105603602769767575919116240859855568496235333038527155216639920690971_<139>] SUBMIT/RESERVE

(44·10¹⁸⁶-53)/9 =

4(8)₁₈₅3_<187>

= 45238336078089561385130167_<26> · 108069600094260346323562314335528187535724034282562080439341320666108912614320299635030289833368975909482785474558714305613278229269004597522863951174303292482149_<162>

(44·10¹⁸⁷-53)/9 =

4(8)₁₈₆3_<188>

= 1031 · 62551051 · 636398837 · 1191207758085806433461224053127669287523757357678837266666569038043431149254576373619719347182215200252805745300279560623488984834555758952294268600705585960380346715939_<169>

(44·10¹⁸⁸-53)/9 =

4(8)₁₈₇3_<189>

= 3⁶ · 7 · 34759 · 508577 · 429617305558436165095293443_<27> · [12614755649164782466540222910737758806084638766402918107791130147423050315030368871682696888882424720052402360964175401006330011604757129026872400489_<149>] SUBMIT/RESERVE

(44·10¹⁸⁹-53)/9 =

4(8)₁₈₈3_<190>

= 31 · 18143 · 647783 · 294023406383091419_<18> · [45638138437973013492596078843766259837926190459949953214590130368814540302751735217948318552226546998130335694062331080219532516545520457732377405364949260184463_<161>] SUBMIT/RESERVE

(44·10¹⁹⁰-53)/9 =

4(8)₁₈₉3_<191>

= 43 · 73 · 17509 · 150735727 · 315861199 · 16353940987430626841354684789545096301_<38> · 1142411596260915522065637419342485352099104538560662907614857307976819154850864567728471427061637844353430870578597079887022520721_<130> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=453268322 for P38 / Feb 24, 2009)

(44·10¹⁹¹-53)/9 =

4(8)₁₉₀3_<192>

= 3 · 47 · 4306847 · 44785849 · 145630568125237460798591711347_<30> · [123434981228747908253162766155477493613658455895874435021964317473180777994798537677042728620665733462795724723818234767673552363009349165019288243_<147>] (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=788724567 for P30 / Feb 24, 2009) SUBMIT/RESERVE

(44·10¹⁹²-53)/9 =

4(8)₁₉₁3_<193>

= 696457 · 8169034619_<10> · 363391761793_<12> · 8428473113059_<13> · 133396886663428373837032220609_<30> · 2103175169457846601552806103544676440988572210079484013420789074998367704348399128910180822984955341604439165177509040355947_<124> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2020511789 for P30 / Feb 26, 2009)

(44·10¹⁹³-53)/9 =

4(8)₁₉₂3_<194>

= 94705006973_<11> · 19579143271573_<14> · [26365957171692653677891863266750582500467251933881068942290970261301357414086232063980316415461143186148755788604731146942170602486527181827830254446238908514516170333427_<170>] SUBMIT/RESERVE

(44·10¹⁹⁴-53)/9 =

4(8)₁₉₃3_<195>

= 3 · 7² · 44299141 · 2364987186629_<13> · 10582851960413_<14> · [2999618436769525879831050046844921224757744884879879914734340227495960929288084162049692996403336912963962869728091494338846486973944129124859527449076296470877_<160>] SUBMIT/RESERVE

(44·10¹⁹⁵-53)/9 =

4(8)₁₉₄3_<196>

= 71 · 89 · 12235910753587055253329515427_<29> · 63230339115885318968887972358093725255973562350689550046137488248782024718922831786761110752050538634682399633220592805946003916932661303970931500013633251414370591_<164>

(44·10¹⁹⁶-53)/9 =

4(8)₁₉₅3_<197>

= 84246806899309_<14> · 39737060304818533_<17> · 283238786868761988612421_<24> · 51559447710494304066316096793824881675764409070249307433422684591448617997188746694528115588405615675590479976790758527058905962157525337966359_<143>

(44·10¹⁹⁷-53)/9 =

4(8)₁₉₆3_<198>

= 3² · 26539 · 937709 · 174774594577407281_<18> · [12489260249166008399399306795453974474581262267807102247302158479567441120114210037701970997801488993981446313103758382867209127037606481604065550162906098668845318327877_<170>] SUBMIT/RESERVE

(44·10¹⁹⁸-53)/9 =

4(8)₁₉₇3_<199>

= 73 · 193 · 307 · [1130294521100248210107982430188193780878072895108385868266691039926703482928070086069615815718014328384004822041935108404363995218134897414340822382256513302911456297920152758276986224818097721_<193>] SUBMIT/RESERVE

(44·10¹⁹⁹-53)/9 =

4(8)₁₉₈3_<200>

= 362574769159_<12> · 134838088712812867526233307624937886884577356992651325738160583635430396125703539798440928086026806027450373223637852049022391883794673477032638765993944065908931965448949114223957430770037_<189>

(44·10²⁰⁰-53)/9 =

4(8)₁₉₉3_<201>

= 3 · 7 · 23 · 490151 · 603522709 · 12983684697563_<14> · 485460576989519_<15> · 7046882295480502467634870497200027_<34> · 17093319897861558819189989484935430767783_<41> · 4506757199284748937489169617028628948676844119512148373046760090531769332278731307_<82> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2540175551 for P34 / Feb 26, 2009) (Sinkiti Sibata / Msieve 1.40 gnfs for P41 x P82 / 79.27 hours / Apr 25, 2009)

(44·10²⁰¹-53)/9 =

4(8)₂₀₀3_<202>

= 17 · 19² · 1228961 · 6844759723_<10> · 294468218172815961713687891653_<30> · [321602419069460169436773449383158314957789075819728975342322085587957607171079755417578049361899982728166595079470596285124413452437505598116826757125901_<153>] (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=938599845 for P30 / Feb 24, 2009) SUBMIT/RESERVE

(44·10²⁰²-53)/9 =

4(8)₂₀₁3_<203>

= 122963 · 822178853 · 1763731819525428407425034959_<28> · 274180689571424891585470975907156382775859380802694728517705727830092833736279850247501173779200368048193647175656359049648758997756775547725232618501088898590883_<162>

(44·10²⁰³-53)/9 =

4(8)₂₀₂3_<204>

= 3 · 127 · 1530293099_<10> · 2293612697597325623946437_<25> · [365586783851232250216476203857348142678211320388226480525690916671807147540214536161620956020888501258681556796672761697442662042641152135879268698213412230236485339561_<168>] SUBMIT/RESERVE

(44·10²⁰⁴-53)/9 =

4(8)₂₀₃3_<205>

= 31 · 131 · 75956254527312360496911296790966809_<35> · [15849429573449204111210382410071127103818486388678547282497647139185547003406911430474426852551951533584065408618982135342664560514133979604513938702039208944975046567_<167>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=100595225 for P35 / Feb 26, 2009) SUBMIT/RESERVE

(44·10²⁰⁵-53)/9 =

4(8)₂₀₄3_<206>

= 317 · 10061 · 15328856401468044577568594629193744307637884892342480236139639332215093258846239481399704355133649686091149630436949400106946644048242280100500163165224900626333588732983967792957874595531575650014059_<200>

4. References

• A102998 (On-Line Encyclopedia of Integer Sequences)