9 431 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
679033	6	19.4	old
20769885660263	14	44.2	old
45097353643519	14	45.4	old
3517031721219792871	19	61.6	old
2761079537014787013632041	25	81.2	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	5750 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	9A93203288879B99	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	9A93203288879B99	5	0	1	3
Verified	2017-12-07	ATH	9A93203288879B99	5	5836	1	3
Verified	2020-04-17	Oliver Kruse	8A9EFD080FE150D7	5	800	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8A9EFD080FE150D7	5	6202	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9431/20769885660263/2761079537014787013632041/3517031721219792871/45097353643519/679033 : 8A9EFD080FE150D7 PRP: Verified PRP without proof (small exponent)
2023-07-01	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9431/679033/20769885660263/45097353643519/3517031721219792871/2761079537014787013632041 : 8A9EFD080FE150D7 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9431/679033/20769885660263/45097353643519/3517031721219792871/2761079537014787013632041 : 9A93203288879B99 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9431/679033/20769885660263/45097353643519/3517031721219792871/2761079537014787013632041 : 9A93203288879B99 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9431/known_factors : 9A93203288879B99 PRP without proof (not generated)