1 100 311 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
6927910147476903924923249	25	82.5	2013-10-12 19:43:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	802	0
Verified (Factored)		Laurent Hodges	6A68A230CE6E2802	0
Verified (Factored)	2002-04-07	S57483	6A68A230CE6E2802	439526
Verified (Factored)	2009-05-14	Rob_Dee	6A68A230CE6E2802	790512

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	486309E8006BFDAA	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-29	Oliver Kruse	99C96A8B8915B329	1	0	1	3
Verified	2017-10-16	Oliver Kruse	99C96A8B8915B329	1	44285	1	3
Verified	2018-01-01	ATH	99C96A8B8915B329	1	405752	1	3

History

Date	User	Type	Result
2025-09-02	johnguin	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	486309E8006BFDAA PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-12-31	yuriy_5-1	NF-PM1	B1=218000, B2=856035180
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^60
2022-03-07	firejuggler	NF	no factor from 2^57 to 2^60
2018-01-01	ATH	C-PRP	M1100311/6927910147476903924923249 : 99C96A8B8915B329 PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1100311/6927910147476903924923249 : 99C96A8B8915B329 PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1100311/6927910147476903924923249 : 99C96A8B8915B329 PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2013-10-12	561	F-ECM	Factor: 6927910147476903924923249
2012-10-07	dbaugh	NF	no factor from 2^62 to 2^63
2012-03-01	c10ck3r	NF-PM1	B1=1250000, B2=2500000, E=6
2011-01-16	James Heinrich	NF	no factor from 2^61 to 2^62
2009-05-14	Rob_Dee	C-LL	6A68A230CE6E2802
2009-04-14	Sturle Sunde	NF	no factor from 2^60 to 2^61