News of 2012

May 2012
April 2012
March 2012
February 2012
January 2012

May 2012

May 27, 2012

Factorizations of 944...447 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

May 22, 2012

Factorizations of 855...557 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

May 16, 2012

Factorizations of 155...553 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

May 14, 2012

Erik Branger has finished searching prime numbers of the form 711...11 until 200000 digits.

May 11, 2012

Factorizations of 144...441 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

May 5, 2012

Factorizations of 122...227 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

May 1, 2012

Factorizations of 522...223 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

April 2012

April 24, 2012

Factorizations of 199...997 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

Factorizations of 99...99799...99 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

April 16, 2012

History of searching prime numbers of each form is available. e.g. History of searching prime numbers of the form 77...771

April 15, 2012

Erik Branger has finished searching prime numbers of the form 77...771 until 300000 digits.

April 13, 2012

Factorizations of 511...117 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

April 11, 2012

Darren Bedwell found the largest known near-repdigit-palindrome prime number. Congratulations!

Proven near-repdigit-palindrome primes
	digits	flabel	wlabel	expression	when	who
1	290253	99799	9w79w	10²⁹⁰²⁵³-2·10¹⁴⁵¹²⁶-1	April 11, 2012	Darren Bedwell

The Prime Database: 10^290253-2*10^145126-1 (Chris K. Caldwell)
The Top Twenty: Near-repdigit (Chris K. Caldwell)
The Top Twenty: Palindrome (Chris K. Caldwell)

April 9, 2012

Factorizations of 699...991 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

April 5, 2012

Factorizations of 911...11 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

April 2, 2012

Factorizations of 433...331 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

Ray Chandler found the 62nd prime number of the form 7347764627675020164·10ⁿ-1.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	flabel	wlabel	expression	when	who
11	145198		73477646276750201639w	7347764627675020164·10¹⁴⁵¹⁷⁹-1	April 2, 2012	Ray Chandler

March 2012

March 30, 2012

Factorizations of 977...773 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 29, 2012

Erik Branger proved 114 prime cofactors of Phi_n(10) by ECPP. See Primality certifications.

March 27, 2012

Ray Chandler found the 61st prime number of the form 7347764627675020164·10ⁿ-1.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	flabel	wlabel	expression	when	who
12	136281		73477646276750201639w	7347764627675020164·10¹³⁶²⁶²-1	March 27, 2012	Ray Chandler

March 26, 2012

Factorizations of 766...661 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 21, 2012

Factorizations of 77...77877...77 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 15, 2012

Factorizations of 255...557 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 12, 2012

Ray Chandler found 15 prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least). 46th-47th of n=1199620156415569595, 48th of n=24255533047620308, 49th of n=248108640286930808, 51st of n=330640210602617363, 46th of n=4155941632109082935, 48th of n=5189395769656459445, 47th of n=529220357182862954, 47th of n=5410621003833542777, 49th of n=5906181743052623648, 50th of n=8058799722014140442, 53rd of n=8861036989751958627 and 50th-52nd of n=9334983988275764.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
36	49659	93349839882757639w	9334983988275764·10⁴⁹⁶⁴³-1	March 12, 2012	Ray Chandler
39	49360	93349839882757639w	9334983988275764·10⁴⁹³⁴⁴-1	March 12, 2012	Ray Chandler
42	49236	51893957696564594449w	5189395769656459445·10⁴⁹²¹⁷-1	March 12, 2012	Ray Chandler
59	47345	80587997220141404419w	8058799722014140442·10⁴⁷³²⁶-1	March 12, 2012	Ray Chandler
77	45701	2481086402869308079w	248108640286930808·10⁴⁵⁶⁸³-1	March 12, 2012	Ray Chandler
79	45490	93349839882757639w	9334983988275764·10⁴⁵⁴⁷⁴-1	March 12, 2012	Ray Chandler
80	45473	59061817430526236479w	5906181743052623648·10⁴⁵⁴⁵⁴-1	March 12, 2012	Ray Chandler
84	45137	41559416321090829349w	4155941632109082935·10⁴⁵¹¹⁸-1	March 12, 2012	Ray Chandler
87	44799	5292203571828629539w	529220357182862954·10⁴⁴⁷⁸¹-1	March 12, 2012	Ray Chandler
89	44758	11996201564155695949w	1199620156415569595·10⁴⁴⁷³⁹-1	March 12, 2012	Ray Chandler
90	44649	11996201564155695949w	1199620156415569595·10⁴⁴⁶³⁰-1	March 12, 2012	Ray Chandler
99	43416	242555330476203079w	24255533047620308·10⁴³³⁹⁹-1	March 12, 2012	Ray Chandler
105	42851	54106210038335427769w	5410621003833542777·10⁴²⁸³²-1	March 12, 2012	Ray Chandler
107	42668	3306402106026173629w	330640210602617363·10⁴²⁶⁵⁰-1	March 12, 2012	Ray Chandler
108	42548	88610369897519586269w	8861036989751958627·10⁴²⁵²⁹-1	March 12, 2012	Ray Chandler

Factorizations of 88...881 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 7, 2012

Factorizations of 844...441 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

March 5, 2012

Erik Branger found the third largest known unprovable near-repdigit PRP. Congratulations!

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
3	271757	77771	7w1	(7·10²⁷¹⁷⁵⁷-61)/9	March 5, 2012	Erik Branger

March 4, 2012

Factorizations of 744...443 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 2012

February 29, 2012

Darren Bedwell found the largest known near-repdigit-palindrome prime number. Congratulations!

Proven near-repdigit-palindrome primes
	digits	flabel	wlabel	expression	when	who
1	269479	99299	9w29w	10²⁶⁹⁴⁷⁹-7·10¹³⁴⁷³⁹-1	February 29, 2012	Darren Bedwell

The Prime Database: 10^269479-7*10^134739-1 (Chris K. Caldwell)
The Top Twenty: Near-repdigit (Chris K. Caldwell)
The Top Twenty: Palindrome (Chris K. Caldwell)

February 28, 2012

Ray Chandler found the 60th prime number of the form 7347764627675020164·10ⁿ-1. Congratulations!

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	flabel	wlabel	expression	when	who
13	103129		73477646276750201639w	7347764627675020164·10¹⁰³¹¹⁰-1	February 28, 2012	Ray Chandler

Factorizations of 755...559 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 24, 2012

Alexander Gramolin found the second largest proven quasi-repdit prime (except pd). Congratulations!

Proven quasi-repdigit primes (except pd)
	digits	flabel	wlabel	expression	when	who
2	111989	30001	30w1	3·10¹¹¹⁹⁸⁸+1	February 24, 2012	Alexander Gramolin

Factorizations of 933...337 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 22, 2012

Ray Chandler found 24 prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least). 45th-46th of n=8461887092138837, 48th-49th of n=9334983988275764, 45th-47th of n=15600468793880159, 48th of n=16337430201479681, 46th-47th of n=24255533047620308, 47th-48th of n=29472578289080199, 48th of n=30895035496936877, 44th of n=35627728454703812, 48th of n=248108640286930808, 50th of n=330640210602617363, 44th of n=1089887362034810066, 52nd-53rd of n=3688107672047143961, 48th of n=3745413626697133958, 46th of n=5410621003833542777, 48th of n=5906181743052623648, 48th-49th of n=8058799722014140442 and 46th-47th of n=8124529194875611707.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
106	41913	54106210038335427769w	5410621003833542777·10⁴¹⁸⁹⁴-1	February 22, 2012	Ray Chandler
113	41145	36881076720471439609w	3688107672047143961·10⁴¹¹²⁶-1	February 22, 2012	Ray Chandler
118	40844	294725782890801989w	29472578289080199·10⁴⁰⁸²⁷-1	February 22, 2012	Ray Chandler
119	40829	84618870921388369w	8461887092138837·10⁴⁰⁸¹³-1	February 22, 2012	Ray Chandler
123	40273	156004687938801589w	15600468793880159·10⁴⁰²⁵⁶-1	February 22, 2012	Ray Chandler
131	39537	84618870921388369w	8461887092138837·10³⁹⁵²¹-1	February 22, 2012	Ray Chandler
132	39534	2481086402869308079w	248108640286930808·10³⁹⁵¹⁶-1	February 22, 2012	Ray Chandler
137	39365	93349839882757639w	9334983988275764·10³⁹³⁴⁹-1	February 22, 2012	Ray Chandler
139	39293	242555330476203079w	24255533047620308·10³⁹²⁷⁶-1	February 22, 2012	Ray Chandler
140	39227	81245291948756117069w	8124529194875611707·10³⁹²⁰⁸-1	February 22, 2012	Ray Chandler
141	39068	93349839882757639w	9334983988275764·10³⁹⁰⁵²-1	February 22, 2012	Ray Chandler
145	38699	80587997220141404419w	8058799722014140442·10³⁸⁶⁸⁰-1	February 22, 2012	Ray Chandler
147	38691	156004687938801589w	15600468793880159·10³⁸⁶⁷⁴-1	February 22, 2012	Ray Chandler
155	38100	242555330476203079w	24255533047620308·10³⁸⁰⁸³-1	February 22, 2012	Ray Chandler
156	38049	156004687938801589w	15600468793880159·10³⁸⁰³²-1	February 22, 2012	Ray Chandler
167	37331	59061817430526236479w	5906181743052623648·10³⁷³¹²-1	February 22, 2012	Ray Chandler
172	37060	294725782890801989w	29472578289080199·10³⁷⁰⁴³-1	February 22, 2012	Ray Chandler
185	36230	80587997220141404419w	8058799722014140442·10³⁶²¹¹-1	February 22, 2012	Ray Chandler
187	36124	37454136266971339579w	3745413626697133958·10³⁶¹⁰⁵-1	February 22, 2012	Ray Chandler
189	36058	308950354969368769w	30895035496936877·10³⁶⁰⁴¹-1	February 22, 2012	Ray Chandler
193	35527	81245291948756117069w	8124529194875611707·10³⁵⁵⁰⁸-1	February 22, 2012	Ray Chandler
195	35416	163374302014796809w	16337430201479681·10³⁵³⁹⁹-1	February 22, 2012	Ray Chandler
205	34928	3306402106026173629w	330640210602617363·10³⁴⁹¹⁰-1	February 22, 2012	Ray Chandler
230	33279	36881076720471439609w	3688107672047143961·10³³²⁶⁰-1	February 22, 2012	Ray Chandler

February 21, 2012

Ray Chandler found 18 prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least). 50th of n=5849194205932532, 50th of n=10471993823152799, 49th-50th of n=11885302750562514, 50th-52nd of n=13523719823507418, 45th-46th of n=24395082050363864, 47th of n=37731518958711032, 51st of n=2265457412699262446, 45th of n=2960341158972475544, 46th-47th of n=5586437116317036434, 50th-51st of n=6758517141263266764, 45th of n=7270120168119633986 and 49th of n=8953919255802171035.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
35	49619	72701201681196339859w	7270120168119633986·10⁴⁹⁶⁰⁰-1	February 21, 2012	Ray Chandler
41	48828	58491942059325319w	5849194205932532·10⁴⁸⁸¹²-1	February 21, 2012	Ray Chandler
47	47963	104719938231527989w	10471993823152799·10⁴⁷⁹⁴⁶-1	February 21, 2012	Ray Chandler
50	47669	118853027505625139w	11885302750562514·10⁴⁷⁶⁵²-1	February 21, 2012	Ray Chandler
59	46852	377315189587110319w	37731518958711032·10⁴⁶⁸³⁵-1	February 21, 2012	Ray Chandler
75	45185	243950820503638639w	24395082050363864·10⁴⁵¹⁶⁸-1	February 21, 2012	Ray Chandler
80	44310	118853027505625139w	11885302750562514·10⁴⁴²⁹³-1	February 21, 2012	Ray Chandler
89	43300	29603411589724755439w	2960341158972475544·10⁴³²⁸¹-1	February 21, 2012	Ray Chandler
94	42534	135237198235074179w	13523719823507418·10⁴²⁵¹⁷-1	February 21, 2012	Ray Chandler
96	42496	89539192558021710349w	8953919255802171035·10⁴²⁴⁷⁷-1	February 21, 2012	Ray Chandler
97	42480	243950820503638639w	24395082050363864·10⁴²⁴⁶³-1	February 21, 2012	Ray Chandler
100	42390	135237198235074179w	13523719823507418·10⁴²³⁷³-1	February 21, 2012	Ray Chandler
114	40967	55864371163170364339w	5586437116317036434·10⁴⁰⁹⁴⁸-1	February 21, 2012	Ray Chandler
117	40748	135237198235074179w	13523719823507418·10⁴⁰⁷³¹-1	February 21, 2012	Ray Chandler
120	40105	55864371163170364339w	5586437116317036434·10⁴⁰⁰⁸⁶-1	February 21, 2012	Ray Chandler
125	39600	67585171412632667639w	6758517141263266764·10³⁹⁵⁸¹-1	February 21, 2012	Ray Chandler
128	39434	22654574126992624459w	2265457412699262446·10³⁹⁴¹⁵-1	February 21, 2012	Ray Chandler
130	39317	67585171412632667639w	6758517141263266764·10³⁹²⁹⁸-1	February 21, 2012	Ray Chandler

Factorizations of 911...117 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 19, 2012

Ray Chandler found 16 prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least). 45th-47th of n=1085096464828759446, 47th-48th of n=12627335841170253, 47th of n=1473996556504596663, 45th-46th of n=1770173404019815998, 46th-47th of n=18337020241048446, 44th-45th of n=3074342565732763052, 45th of n=3673162065033455603, 46th of n=3956926644759313113, 49th of n=8849719619597556 and 47th of n=9866995547651697.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
36	49357	126273358411702529w	12627335841170253·10⁴⁹³⁴⁰-1	February 19, 2012	Ray Chandler
38	49098	126273358411702529w	12627335841170253·10⁴⁹⁰⁸¹-1	February 19, 2012	Ray Chandler
39	48846	14739965565045966629w	1473996556504596663·10⁴⁸⁸²⁷-1	February 19, 2012	Ray Chandler
45	47908	10850964648287594459w	1085096464828759446·10⁴⁷⁸⁸⁹-1	February 19, 2012	Ray Chandler
47	47621	17701734040198159979w	1770173404019815998·10⁴⁷⁶⁰²-1	February 19, 2012	Ray Chandler
53	46956	36731620650334556029w	3673162065033455603·10⁴⁶⁹³⁷-1	February 19, 2012	Ray Chandler
58	46502	10850964648287594459w	1085096464828759446·10⁴⁶⁴⁸³-1	February 19, 2012	Ray Chandler
59	46328	30743425657327630519w	3074342565732763052·10⁴⁶³⁰⁹-1	February 19, 2012	Ray Chandler
70	45039	30743425657327630519w	3074342565732763052·10⁴⁵⁰²⁰-1	February 19, 2012	Ray Chandler
76	43717	88497196195975559w	8849719619597556·10⁴³⁷⁰¹-1	February 19, 2012	Ray Chandler
84	42798	98669955476516969w	9866995547651697·10⁴²⁷⁸²-1	February 19, 2012	Ray Chandler
86	42526	183370202410484459w	18337020241048446·10⁴²⁵⁰⁹-1	February 19, 2012	Ray Chandler
89	42248	10850964648287594459w	1085096464828759446·10⁴²²²⁹-1	February 19, 2012	Ray Chandler
96	41543	17701734040198159979w	1770173404019815998·10⁴¹⁵²⁴-1	February 19, 2012	Ray Chandler
101	41014	39569266447593131129w	3956926644759313113·10⁴⁰⁹⁹⁵-1	February 19, 2012	Ray Chandler
102	40928	183370202410484459w	18337020241048446·10⁴⁰⁹¹¹-1	February 19, 2012	Ray Chandler

February 18, 2012

Factorizations of 866...669 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 15, 2012

Factorizations of 766...663 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 13, 2012

Factorizations of 822...223 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 11, 2012

Ray Chandler found 4 unprovable near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
12	90212	61111	61w	(55·10⁹⁰²¹¹-1)/9	February 11, 2012	Ray Chandler
27	61098	61111	61w	(55·10⁶¹⁰⁹⁷-1)/9	February 11, 2012	Ray Chandler
43	49170	61111	61w	(55·10⁴⁹¹⁶⁹-1)/9	February 11, 2012	Ray Chandler
66	32633	61111	61w	(55·10³²⁶³²-1)/9	February 11, 2012	Ray Chandler

February 10, 2012

Factorizations of 800...009 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 9, 2012

Ray Chandler found 16 prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least). 51st of n=11749536972569333, 50th of n=13651074048698702, 52nd of n=191368947589402968, 53rd-54th of n=2998375267299290424, 50th-51st of n=3752621885794525128, 48th of n=401115243497052, 50th of n=4512565955069796981, 51st of n=4964807464647923921, 46th-47th of n=5294970814496095005, 49th of n=81610032903525693, 46th of n=8681897852553216354 and 48th-49th of n=920700247429683.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
36	49306	52949708144960950049w	5294970814496095005·10⁴⁹²⁸⁷-1	February 9, 2012	Ray Chandler
39	48453	37526218857945251279w	3752621885794525128·10⁴⁸⁴³⁴-1	February 9, 2012	Ray Chandler
41	48137	29983752672992904239w	2998375267299290424·10⁴⁸¹¹⁸-1	February 9, 2012	Ray Chandler
45	47534	52949708144960950049w	5294970814496095005·10⁴⁷⁵¹⁵-1	February 9, 2012	Ray Chandler
46	47259	37526218857945251279w	3752621885794525128·10⁴⁷²⁴⁰-1	February 9, 2012	Ray Chandler
48	46926	9207002474296829w	920700247429683·10⁴⁶⁹¹¹-1	February 9, 2012	Ray Chandler
49	46681	816100329035256929w	81610032903525693·10⁴⁶⁶⁶⁴-1	February 9, 2012	Ray Chandler
50	46648	9207002474296829w	920700247429683·10⁴⁶⁶³³-1	February 9, 2012	Ray Chandler
59	45588	29983752672992904239w	2998375267299290424·10⁴⁵⁵⁶⁹-1	February 9, 2012	Ray Chandler
63	44794	117495369725693329w	11749536972569333·10⁴⁴⁷⁷⁷-1	February 9, 2012	Ray Chandler
72	42902	45125659550697969809w	4512565955069796981·10⁴²⁸⁸³-1	February 9, 2012	Ray Chandler
76	42405	4011152434970519w	401115243497052·10⁴²³⁹⁰-1	February 9, 2012	Ray Chandler
77	42153	136510740486987019w	13651074048698702·10⁴²¹³⁶-1	February 9, 2012	Ray Chandler
78	42074	49648074646479239209w	4964807464647923921·10⁴²⁰⁵⁵-1	February 9, 2012	Ray Chandler
84	41419	86818978525532163539w	8681897852553216354·10⁴¹⁴⁰⁰-1	February 9, 2012	Ray Chandler
85	41418	1913689475894029679w	191368947589402968·10⁴¹⁴⁰⁰-1	February 9, 2012	Ray Chandler

February 8, 2012

Edward Trice found the largest known quasi-repdigit prime number of the form k·10ⁿ+1. Congratulations!

Proven quasi-repdigit primes (except pd)
	digits	flabel	wlabel	expression	when	who
1	231618	60001	60w1	6·10²³¹⁶¹⁷+1	February 8, 2012	Edward Trice

Ray Chandler found 1 unprovable near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
23	66576	67777	67w	(61·10⁶⁶⁵⁷⁵-7)/9	February 8, 2012	Ray Chandler

February 7, 2012

Factorizations of 799...991 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 5, 2012

Factorizations of 755...557 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

February 4, 2012

Ray Chandler found an 74254-digit unprovable near-repdigit PRP of the form 21w.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
19	74254	21111	21w	(19·10⁷⁴²⁵³-1)/9	February 4, 2012	Ray Chandler

February 2, 2012

Factorizations of 33...33733...33 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

Markus Tervooren proved the primality of a 10297-digit near-repdigit number (19·10¹⁰²⁹⁶-1)/9 by Primo.

Proven near-repdigit primes
	digits	flabel	wlabel	expression	when	who
303	10297	21111	21w	(19·10¹⁰²⁹⁶-1)/9	February 2, 2012	Markus Tervooren

Factorizations of 55...553 have been extended up to n=250 by Serge Batalov. Added composite numbers had passed ECM iterations 530 times at the level 30. Most unknown factors are supposed to be greater than 10³⁰.

January 2012

January 30, 2012

Factorizations of 844...443 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 27, 2012

Factorizations of 499...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 24, 2012

Factorizations of 299...993 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 22, 2012

Factorizations of 166...669 have been extended up to n=250. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 20, 2012

Factorizations of 99...99299...99 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 17, 2012

Factorizations of 99...99199...99 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 14, 2012

Factorizations of 77...77677...77 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 11, 2012

Factorizations of 33...33533...33 have been extended up to n=150. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

January 10, 2012

Leonid Durman found the second largest known unprovable near-repdigit PRP so far. Congratulations!

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
2	380976	33331	3w1	(10³⁸⁰⁹⁷⁶-7)/3	January 10, 2012	Leonid Durman

January 9, 2012

Leonid Durman found the largest known unprovable near-repdigit PRP so far. Congratulations!

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
1	424861	33331	3w1	(10⁴²⁴⁸⁶¹-7)/3	January 9, 2012	Leonid Durman