3 877 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
118528101487	12	36.8	old
209468118715627008481	21	67.5	old
26772461005474069662114870301519781501111441	44	144.3	2016-12-05 23:35:34
89542929132316507016492131774907634830649806897	47	156.0	2019-11-04 23:14:26
299592499867763817960599773545675832748072199793549140371231	60	197.6	2021-05-12 15:37:37

P-1 factors

Date	Factors	B1	B2
2016-12-05	26772461005474069662114870301519781501111441	100000000000	0

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	11579 / 40830

Estimated T-Level: 51.4 ⓘ

TF below 2^166 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-20	kkmrkkblmbrbk	9B147773329DFA38	3	0	1	3
Factored	No proof (small exponent)	2017-09-26	George Woltman	9B147773329DFA38	3	346	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	9B147773329DFA38	3	0	1	3
Factored	No proof (small exponent)	2019-11-04	nordi	AE96B4E6E1BB1EF4	4	558	5	3
Factored	No proof (small exponent)	2019-11-05	mnd9	AE96B4E6E1BB1EF4	4	2080	5	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	AE96B4E6E1BB1EF4	4	2280	5	3
Verified	No proof (small exponent)	2021-05-12	mikr	AE96B4E6E1BB1EF4	5	3114	5	3
Verified	No proof (small exponent)	2021-05-13	RichD0	AE96B4E6E1BB1EF4	5	1282	5	3

History

Date	User	Type	Result
2025-05-07	masser	NF-PP1	Start=166/67, B1=2600000000, B2=2597400000000
2024-04-02	masser	NF-PM1	B1=77000000000, B2=77369380452764400
2021-05-13	RichD0	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441/89542929132316507016492131774907634830649806897/299592499867763817960599773545675832748072199793549140371231 : AE96B4E6E1BB1EF4
2021-05-12	mikr	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441/89542929132316507016492131774907634830649806897/299592499867763817960599773545675832748072199793549140371231 : AE96B4E6E1BB1EF4
2021-05-12	Ryan Propper	F-ECM	Factor: 299592499867763817960599773545675832748072199793549140371231
2020-04-17	Oliver Kruse	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441/89542929132316507016492131774907634830649806897 : AE96B4E6E1BB1EF4
2019-11-05	mnd9	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441/89542929132316507016492131774907634830649806897 : AE96B4E6E1BB1EF4
2019-11-04	nordi	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441/89542929132316507016492131774907634830649806897 : AE96B4E6E1BB1EF4
2019-11-04	James Hintz	F-ECM	Factor: 89542929132316507016492131774907634830649806897 / ECM curve 391, B1=11000000, B2=1100000000, Montgomery Sigma=297836743526584
2017-10-02	kkmrkkblmbrbk	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441 : 9B147773329DFA38
2017-09-26	George Woltman	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441 : 9B147773329DFA38
2017-09-20	kkmrkkblmbrbk	C-PRP	M3877/118528101487/209468118715627008481/26772461005474069662114870301519781501111441 : 9B147773329DFA38
2016-12-05	kkmrkkblmbrbk	F-PM1	Factor: 26772461005474069662114870301519781501111441 / B1=100000000000
2005-03-20	-anonymous-	F-PM1	Factor: 24827858433416802154074177711247