7 741 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
8964079	7	23.1	old
9729524877521023	16	53.1	old
410283032247663532892257409	27	88.4	old
95877937939380686688705548585412666401	38	126.2	2017-04-13 13:39:32

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	2989 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	BA22B0A193D1A9A5	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BA22B0A193D1A9A5	4	0	1	3
Verified	2017-12-07	ATH	BA22B0A193D1A9A5	4	6459	1	3
Verified	2020-04-17	Oliver Kruse	48E6732D8AB04C8B	4	7166	5	3
Verified	2024-02-03	Wentao Huang	48E6732D8AB04C8B	4	6559	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7741/8964079/9729524877521023/410283032247663532892257409/95877937939380686688705548585412666401 : 48E6732D8AB04C8B PRP: Verified PRP without proof (small exponent)
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7741/8964079/9729524877521023/410283032247663532892257409/95877937939380686688705548585412666401 : 48E6732D8AB04C8B PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7741/8964079/9729524877521023/410283032247663532892257409/95877937939380686688705548585412666401 : BA22B0A193D1A9A5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7741/8964079/9729524877521023/410283032247663532892257409/95877937939380686688705548585412666401 : BA22B0A193D1A9A5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7741/known_factors : BA22B0A193D1A9A5 PRP without proof (not generated)
2017-04-13	kkmrkkblmbrbk	F-ECM	Factor: 95877937939380686688705548585412666401 / (ECM curve 788, B1=3000000, B2=300000000)