7 649 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
5485150831081	13	42.3	old
34225449148941833	17	54.9	old
111364956811627513	18	56.6	old
22648432701268157411079847	26	84.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2050 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^132 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	28E93C3EE34AA50B	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	28E93C3EE34AA50B	4	0	1	3
Verified	2017-12-07	ATH	28E93C3EE34AA50B	4	6516	1	3
Verified	2020-04-17	Oliver Kruse	D72CD3B75D52DF3A	4	5706	5	3
Verified	2024-02-03	Wentao Huang	D72CD3B75D52DF3A	4	2623	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7649/5485150831081/34225449148941833/111364956811627513/22648432701268157411079847 : D72CD3B75D52DF3A PRP: Verified PRP without proof (small exponent)
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7649/5485150831081/34225449148941833/111364956811627513/22648432701268157411079847 : D72CD3B75D52DF3A PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7649/5485150831081/34225449148941833/111364956811627513/22648432701268157411079847 : 28E93C3EE34AA50B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7649/5485150831081/34225449148941833/111364956811627513/22648432701268157411079847 : 28E93C3EE34AA50B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7649/known_factors : 28E93C3EE34AA50B PRP without proof (not generated)