6 761 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
26340857	8	24.7	old
3676535107426532447364097069070657	34	111.5	old
545412946901039257351130078788124013713	39	128.7	2016-12-24 01:06:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1299 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	D3FB36739EB70F6B	3	0	1	3
Verified	2017-09-25	George Woltman	D3FB36739EB70F6B	3	1047	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D3FB36739EB70F6B	3	0	1	3
Verified	2020-04-17	Oliver Kruse	D2C9F5D1B4B4CC26	3	3573	5	3
Verified	2024-02-03	Wentao Huang	D2C9F5D1B4B4CC26	3	3515	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6761/26340857/3676535107426532447364097069070657/545412946901039257351130078788124013713 : D2C9F5D1B4B4CC26 PRP: Verified PRP without proof (small exponent)
2023-08-13	-Anonymous-	NF-PM1	B1=36000000000, B2=144600212653396500
2021-12-18	Oliver Kruse	NF-PM1	B1=1000000000, B2=1080854750315340
2020-04-17	Oliver Kruse	C-PRP	M6761/26340857/3676535107426532447364097069070657/545412946901039257351130078788124013713 : D2C9F5D1B4B4CC26 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6761/26340857/3676535107426532447364097069070657/545412946901039257351130078788124013713 : D3FB36739EB70F6B PRP: Verified PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M6761/known_factors : D3FB36739EB70F6B PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6761/26340857/3676535107426532447364097069070657/545412946901039257351130078788124013713 : D3FB36739EB70F6B PRP: Verified PRP without proof (not generated)
2016-12-24	kkmrkkblmbrbk	F-ECM	Factor: 545412946901039257351130078788124013713 / (ECM curve 1586, B1=3000000, B2=300000000)