2 963 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
5927	4	12.5	old
1374833	7	20.4	old
68747527	8	26.0	old
596336323552300302845434367	27	88.9	old
2285316758941940976540537177521926768699947537053357197435183	61	200.5	2020-02-07 12:11:32

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	15894 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	76B25C0D0D4A7C1B	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	76B25C0D0D4A7C1B	4	0	1	3
Verified (Factored)	2017-12-07	ATH	76B25C0D0D4A7C1B	4	562	1	3
Verified	2020-02-08	Niels_Mache_Nextcloud	9037B3EF8931300C	5	1743	5	3
Verified	2020-02-08	Jinyuan Wang	9037B3EF8931300C	5	1211	5	3
Verified	2020-02-09	marssystems	9037B3EF8931300C	5	2023	5	3
Verified	2020-04-17	Oliver Kruse	9037B3EF8931300C	5	1958	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	9037B3EF8931300C	1	1728	5	3

History

Date	User	Type	Result
2025-04-19	masser	NF-PP1	Start=77/67, B1=3100000000, B2=3096900000000
2024-06-27	masser	NF-PM1	B1=100000000000, B2=121043856381698250
2022-05-12	Jorge Coveiro	C-PRP	M2963/5927 : 9037B3EF8931300C PRP: Verified (Factored) PRP without proof (small exponent)
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367/2285316758941940976540537177521926768699947537053357197435183 : 9037B3EF8931300C PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-09	marssystems	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367/2285316758941940976540537177521926768699947537053357197435183 : 9037B3EF8931300C PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-08	Jinyuan Wang	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367/2285316758941940976540537177521926768699947537053357197435183 : 9037B3EF8931300C PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-08	Niels_Mache_Nextcloud	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367/2285316758941940976540537177521926768699947537053357197435183 : 9037B3EF8931300C PRP: Verified (Factored) PRP without proof (small exponent)
2020-02-07	Ryan Propper	F-ECM	Factor: 2285316758941940976540537177521926768699947537053357197435183 / (ECM curve 1, B1=850000000)
2017-12-07	ATH	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367 : 76B25C0D0D4A7C1B PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2963/5927/1374833/68747527/596336323552300302845434367 : 76B25C0D0D4A7C1B PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2963/known_factors : 76B25C0D0D4A7C1B PRP without proof (not generated)