2 957 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
10347489241	11	33.3	old
136597077361	12	37.0	old
78282570674015757483242178104424910939106929	44	145.8	2017-04-25 00:47:08
197346672351254709601721138509591132442348588353307637668879	60	197.0	2020-01-18 00:54:32

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	2925 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	5E69442ABD4A6450	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	5E69442ABD4A6450	3	0	1	3
Verified (Factored)	2017-12-07	ATH	5E69442ABD4A6450	3	2917	1	3
Verified	2020-01-18	Niels_Mache_Nextcloud	74CEA815712A1BF9	4	2165	5	3
Verified	2020-01-20	Steve Potocny	74CEA815712A1BF9	4	2088	5	3
Verified	2020-04-17	Oliver Kruse	74CEA815712A1BF9	4	1009	5	3

History

Date	User	Type	Result
2024-06-27	masser	NF-PM1	B1=100000000000, B2=283162593372799140
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2957/10347489241/136597077361/78282570674015757483242178104424910939106929/197346672351254709601721138509591132442348588353307637668879 : 74CEA815712A1BF9 PRP: Verified PRP without proof (small exponent)
2020-01-20	Steve Potocny	C-PRP	M2957/10347489241/136597077361/78282570674015757483242178104424910939106929/197346672351254709601721138509591132442348588353307637668879 : 74CEA815712A1BF9 PRP: Verified PRP without proof (small exponent)
2020-01-18	Niels_Mache_Nextcloud	C-PRP	M2957/10347489241/136597077361/78282570674015757483242178104424910939106929/197346672351254709601721138509591132442348588353307637668879 : 74CEA815712A1BF9 PRP: Verified PRP without proof (small exponent)
2020-01-18	Ryan Propper	F-ECM	Factor: 197346672351254709601721138509591132442348588353307637668879 / (ECM curve 1, B1=260000000)
2017-12-07	ATH	C-PRP	M2957/10347489241/136597077361/78282570674015757483242178104424910939106929 : 5E69442ABD4A6450 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2957/10347489241/136597077361/78282570674015757483242178104424910939106929 : 5E69442ABD4A6450 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2957/known_factors : 5E69442ABD4A6450 PRP without proof (not generated)
2017-04-25	trebor	F-ECM	Factor: 78282570674015757483242178104424910939106929 / (ECM curve 2400, B1=11000000, B2=100000000000)