2 137 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
434527865148151913428610180914321766584011558417928142522774921	63	208.1	2020-09-01 12:05:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	72502 / 194238

Estimated T-Level: 61.9 ⓘ

TF below 2^201 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	7D57	0
Verified (Factored)		George Woltman	46CC3618AE127D57	0
Verified (Factored)		Brian J. Beesley	46CC3618AE127D57	0
Verified (Factored)	2015-04-11	MadPoo	46CC3618AE127D57	572

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-09-01	M Miller	6095C7586B32A230	1	1989	5	3
Verified	2020-09-02	kutens	6095C7586B32A230	1	763	5	3

History

Date	User	Type	Result
2025-04-02	masser	NF-PP1	Start=141/37, B1=5300000000, B2=5294700000000
2020-09-02	kutens	C-PRP	M2137/434527865148151913428610180914321766584011558417928142522774921 : 6095C7586B32A230 PRP: Verified PRP without proof (small exponent)
2020-09-01	M Miller	C-PRP	M2137/434527865148151913428610180914321766584011558417928142522774921 : 6095C7586B32A230 PRP: Verified PRP without proof (small exponent)
2020-09-01	Ryan Propper	F-ECM	Factor: 434527865148151913428610180914321766584011558417928142522774921 / (ECM curve 1, B1=2900000000)
2017-10-07	snme2pm1	NF	no factor from 2^63 to 2^64
2016-09-20	James Hintz	NF-PM1	B1=3220658789332, B2=257652703146560, E=12
2016-06-20	snme2pm1	NF	no factor from 2^62 to 2^63
2016-02-09	James Hintz	NF-PM1	B1=1777333115906, B2=142186649272480, E=12
2015-07-08	MadPoo	NF-PM1	B1=2222038391137, B2=10000000000000, E=12
2015-06-22	trebor	NF-PM1	B1=100000000000, B2=10000000000000, E=12
2015-04-11	MadPoo	C-LL	46CC3618AE127D57
2015-01-04	Chris Smith	NF	no factor from 2^61 to 2^62
2013-04-05	Le Comte	NF-PM1	B1=100000000000
2012-04-16	bcp19	NF	no factor from 2^60 to 2^61
2010-11-29	monst	NF	no factor from 2^59 to 2^60
2008-12-12	Matthias Wurtinger	NF-PM1	B1=20000000000, B2=2000000000000, E=12