9 931 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
15348604882049	14	43.8	old
984238698603438601	18	59.8	old

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	6109 / 16550

Estimated T-Level: 46.8 ⓘ

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	2017-09-21	Oliver Kruse	CA421123891E9F9C	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	CA421123891E9F9C	2	5552	1	3
Verified	2020-04-17	Oliver Kruse	F6DFACE01852B81B	2	7292	5	3
Verified	2024-07-01	kkmrkkblmbrbk	F6DFACE01852B81B	2	8305	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9931/15348604882049/984238698603438601 : F6DFACE01852B81B PRP: Verified PRP without proof (small exponent)
2023-06-11	JacobZ	NF-PM1	B1=58000000000, B2=241250667952694400
2022-11-24	Kevin_9611	NF-PM1	B1=1000000000, B2=100294988083290
2022-02-05	Joss	NF-PM1	B1=1000000, B2=6010952007060
2020-04-17	Oliver Kruse	C-PRP	M9931/15348604882049/984238698603438601 : F6DFACE01852B81B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9931/15348604882049/984238698603438601 : CA421123891E9F9C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9931/15348604882049/984238698603438601 : CA421123891E9F9C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9931/15348604882049/984238698603438601 : CA421123891E9F9C PRP without proof (not generated)