3 677 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
827972153	9	29.6	old
13833159776441	14	43.7	old
2023351572759399099610229657	28	90.7	old
90753320690128149478857522481409511055173545538471563551	56	185.9	2020-04-18 13:50:49

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	12548 / 40830

Estimated T-Level: 51.5 ⓘ

TF below 2^166 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	6C40E1EF2C5B72A3	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	6C40E1EF2C5B72A3	3	0	1	3
Verified (Factored)	2017-12-07	ATH	6C40E1EF2C5B72A3	3	237	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3E30BEE26BEBD111	3	1916	5	3
Verified	2020-04-18	ATH	3E30BEE26BEBD111	4	1630	5	3

History

Date	User	Type	Result
2024-06-01	masser	NF-PM1	B1=77000000000, B2=37862213120752020
2021-09-09	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2021-08-23	H Michaelson	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-18	ATH	C-PRP	M3677/827972153/13833159776441/2023351572759399099610229657/90753320690128149478857522481409511055173545538471563551 : 3E30BEE26BEBD111 PRP: Verified PRP without proof (small exponent)
2020-04-18	Ryan Propper	F-ECM	Factor: 90753320690128149478857522481409511055173545538471563551 / (ECM curve 1, B1=260000000)
2020-04-17	Oliver Kruse	C-PRP	M3677/827972153/13833159776441/2023351572759399099610229657 : 3E30BEE26BEBD111 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3677/827972153/13833159776441/2023351572759399099610229657 : 6C40E1EF2C5B72A3 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3677/827972153/13833159776441/2023351572759399099610229657 : 6C40E1EF2C5B72A3 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3677/known_factors : 6C40E1EF2C5B72A3 PRP without proof (not generated)