2 657 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 8 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
37199	5	15.2	old
148793	6	17.2	old
318841	6	18.3	old
4834903762391	13	42.1	old
387282511475753	15	48.5	old
2411551168613927	16	51.1	old
77028063857760263	17	56.1	old
89949828963946355566706899035478721805841	41	136.0	old

P-1 factors

Date	Factors	B1	B2
2021-08-12	No new factors discovered	10000000	10000000
2021-08-12	No new factors discovered	1000000	1000000

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	24858 / 105362

Estimated T-Level: 56.2 ⓘ

TF below 2^182 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	4EB5D8F803DEBC86	8	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4EB5D8F803DEBC86	8	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4EB5D8F803DEBC86	8	650	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	7DD26CA536E04AA0	8	1661	5	3
Verified	No proof (small exponent)	2021-08-12	mikr	7DD26CA536E04AA0	8	88	5	3

History

Date	User	Type	Result
2025-04-17	masser	NF-PP1	Start=103/47, B1=4300000000, B2=4295700000000
2024-10-18	-anonymous-	NF-PM1	B1=6000000000000, B2=1.4003059100843E+19
2024-06-02	masser	NF-PM1	B1=100000000000, B2=283183159809800250
2024-05-12	masser	NF-PM1	B1=100000000000, B2=62933013530437050
2022-03-19	PrimeNR	NF-PM1	B1=500000000, B2=4063004615670
2021-09-01	Jinyuan Wang	NF-PM1	B1=1300000000, B2=6500000000
2021-08-12	mikr	C-PRP	M2657/37199/148793/318841/4834903762391/387282511475753/2411551168613927/77028063857760263/89949828963946355566706899035478721805841 : 7DD26CA536E04AA0
2021-08-12	H Michaelson	F-PM1	Factor: 1584970651605600523935073272563573461327827666414511237264217 / B1=10000000
2021-08-12	H Michaelson	F-PM1	Factor: 657241145132568233952260495597315077184070271 / B1=1000000
2020-04-17	Oliver Kruse	C-PRP	M2657/37199/148793/318841/4834903762391/387282511475753/2411551168613927/77028063857760263/89949828963946355566706899035478721805841 : 7DD26CA536E04AA0
2017-12-07	ATH	C-PRP	M2657/37199/148793/318841/4834903762391/387282511475753/2411551168613927/77028063857760263/89949828963946355566706899035478721805841 : 4EB5D8F803DEBC86
2017-10-02	kkmrkkblmbrbk	C-PRP	M2657/37199/148793/318841/4834903762391/387282511475753/2411551168613927/77028063857760263/89949828963946355566706899035478721805841 : 4EB5D8F803DEBC86
2017-09-21	Oliver Kruse	C-PRP	M2657/known_factors : 4EB5D8F803DEBC86