4 931 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
33264527	8	25.0	old
211115400073	12	37.6	old
168240160187710062113	21	67.2	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	16550 / 16550
55	110000000	14621 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	49A35ABF404C0433	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	49A35ABF404C0433	3	0	1	3
Verified	2017-12-07	ATH	49A35ABF404C0433	3	2475	1	3
Verified	2020-04-17	Oliver Kruse	00908C7C74826107	3	2195	5	3
Verified	2024-07-01	kkmrkkblmbrbk	00908C7C74826107	3	2995	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M4931/168240160187710062113/211115400073/33264527 : 00908C7C74826107 PRP: Verified PRP without proof (small exponent)
2023-05-31	-Anonymous-	NF-PM1	B1=64000000000, B2=642189744639793350
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4931/33264527/211115400073/168240160187710062113 : 00908C7C74826107 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4931/33264527/211115400073/168240160187710062113 : 49A35ABF404C0433 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4931/33264527/211115400073/168240160187710062113 : 49A35ABF404C0433 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4931/known_factors : 49A35ABF404C0433 PRP without proof (not generated)