52 999 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
29658660590415288898318798252550004186839	41	134.4	2017-01-26 21:52:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1003 / 4588

Estimated T-Level: 36.1 ⓘ

TF below 2^115 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	2A97	0
Verified (Factored)		Robert Clark	C08E17483EE62A97	0
Verified (Factored)		Brian J. Beesley	C08E17483EE62A97	0
Verified (Factored)	2015-04-11	MadPoo	C08E17483EE62A97	42621

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	5EA7E928A185CB93	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	5EA7E928A185CB93	1	0	1	3
Verified	2017-12-07	ATH	5EA7E928A185CB93	1	37090	1	3
Verified	2020-04-17	Oliver Kruse	9530509BA4587C02	1	25058	5	3
Verified	2024-02-03	Wentao Huang	9530509BA4587C02	1	15503	5	3

P-1 factors

Date	Factor	B1	B2
2017-01-26	29658660590415288898318798252550004186839	1000000000	12721806059616

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M52999/29658660590415288898318798252550004186839 : 9530509BA4587C02 PRP: Verified PRP without proof (small exponent)
2021-11-13	fbaur	NF-PP1	Start=6/5, B1=500000000, B2=70500000000
2021-04-30	ATH	NF-PP1	Start=2/7, B1=15000000, B2=1500000000
2020-04-17	Oliver Kruse	C-PRP	M52999/29658660590415288898318798252550004186839 : 9530509BA4587C02 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M52999/29658660590415288898318798252550004186839 : 5EA7E928A185CB93 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M52999/29658660590415288898318798252550004186839 : 5EA7E928A185CB93 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M52999/known_factors : 5EA7E928A185CB93 PRP without proof (not generated)
2017-01-26	kkmrkkblmbrbk	F-PM1	Factor: 29658660590415288898318798252550004186839 / (P-1, B1=1000000000, B2=12721806059616)
2016-02-23	LaurV	NF	no factor from 2^58 to 2^59
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-12-23	snme2pm1	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	C08E17483EE62A97
2015-01-08	Sid & Andy	NF	no factor from 2^61 to 2^62
2013-11-30	LaurV	NF	no factor from 2^60 to 2^61
2012-04-26	alpertron	NF-PM1	B1=100000000, B2=2000000000, E=12
2012-02-17	Joss	NF-PM1	B1=18726410
2009-02-08	Sturle Sunde	NF	no factor from 2^59 to 2^60