9 257 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
20108848299079	14	44.2	old
29606671972189918930821992343321607	35	114.5	2008-07-17 13:37:03
2126898751360926298977902219868768286355377	43	140.6	2024-06-09 17:38:20

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	6734 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	DA9D904E59840AE5	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	DA9D904E59840AE5	2	0	1	3
Verified (Factored)	2017-12-07	ATH	DA9D904E59840AE5	2	3520	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	7C075A350196B078	2	2227	5	3
Verified	2024-06-09	nordi	7C075A350196B078	3	7070	5	3

History

Date	User	Type	Result
2024-06-09	nordi	C-PRP	M9257/20108848299079/29606671972189918930821992343321607/2126898751360926298977902219868768286355377 : 7C075A350196B078 PRP: Verified PRP without proof (small exponent)
2024-06-09	nordi	F-ECM	Factor: 2126898751360926298977902219868768286355377 / (ECM curve 534, B1=11000000, B2=148986983145, Edwards Sigma=7936992620934152)
2023-07-09	JacobZ	NF-PM1	B1=63000000000, B2=255469764292442700
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9257/20108848299079/29606671972189918930821992343321607 : 7C075A350196B078 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9257/20108848299079/29606671972189918930821992343321607 : DA9D904E59840AE5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9257/20108848299079/29606671972189918930821992343321607 : DA9D904E59840AE5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9257/known_factors : DA9D904E59840AE5 PRP without proof (not generated)
2008-07-17	Luigi Morelli	F-ECM	Factor: 29606671972189918930821992343321607