7 549 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
7460767289	10	32.8	old
4890512571580778239561	22	72.1	old
80473054828885940582352794628493511	35	116.0	2017-03-16 03:50:14

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	33CB2AFF15B45C20	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	33CB2AFF15B45C20	3	0	1	3
Verified	2017-12-07	ATH	33CB2AFF15B45C20	3	1051	1	3
Verified	2020-04-17	Oliver Kruse	7B2B9C2187BF4A0D	3	6277	5	3
Verified	2024-02-03	Wentao Huang	7B2B9C2187BF4A0D	3	4412	5	3

History

Date	User	Type	Result
2024-11-14	masser	NF-PM1	B1=50000000000, B2=201265614041391900
2024-02-03	Wentao Huang	C-PRP	M7549/7460767289/4890512571580778239561/80473054828885940582352794628493511 : 7B2B9C2187BF4A0D PRP: Verified PRP without proof (small exponent)
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7549/7460767289/4890512571580778239561/80473054828885940582352794628493511 : 7B2B9C2187BF4A0D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7549/7460767289/4890512571580778239561/80473054828885940582352794628493511 : 33CB2AFF15B45C20 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7549/7460767289/4890512571580778239561/80473054828885940582352794628493511 : 33CB2AFF15B45C20 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7549/known_factors : 33CB2AFF15B45C20 PRP without proof (not generated)
2017-03-16	kkmrkkblmbrbk	F-ECM	Factor: 80473054828885940582352794628493511 / (ECM curve 131, B1=3000000, B2=300000000)