2 371 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
5565162362143	13	42.3	old
357764401559881	15	48.3	old
28568912976706210432008328195128151	35	114.5	old

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	61565 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	8F22D611B5F0107B	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	8F22D611B5F0107B	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	8F22D611B5F0107B	3	873	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	78726C9658C0961C	3	470	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	78726C9658C0961C	3	112	5	3

History

Date	User	Type	Result
2025-04-03	masser	NF-PP1	Start=124/29, B1=4400000000, B2=4395600000000
2024-04-26	masser	NF-PM1	B1=100000000000, B2=126908319139602000
2024-02-03	Wentao Huang	C-PRP	M2371/5565162362143/357764401559881/28568912976706210432008328195128151 : 78726C9658C0961C
2020-04-17	Oliver Kruse	C-PRP	M2371/5565162362143/357764401559881/28568912976706210432008328195128151 : 78726C9658C0961C
2017-12-07	ATH	C-PRP	M2371/5565162362143/357764401559881/28568912976706210432008328195128151 : 8F22D611B5F0107B
2017-10-02	kkmrkkblmbrbk	C-PRP	M2371/5565162362143/357764401559881/28568912976706210432008328195128151 : 8F22D611B5F0107B
2017-09-21	Oliver Kruse	C-PRP	M2371/known_factors : 8F22D611B5F0107B
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2009-10-25	Carsten Kossendey	F-PM1	Factor: 1991016982075664139821984983