26 539 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
12894610087	11	33.6	old
500257098304440126442163742077625799	36	118.6	2016-12-20 17:48:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	840 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 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	44D3546076360382	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	44D3546076360382	2	0	1	3
Verified	2017-12-07	ATH	44D3546076360382	2	16533	1	3
Unverified	2020-04-17	Oliver Kruse	6213FFB851A74F__	2	8331	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-20	500257098304440126442163742077625799	500000000	18755543263242

History

Date	User	Type	Result
2023-04-11	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2023-03-11	nordi	NF-PM1	B1=5000000000
2020-04-17	Oliver Kruse	C-PRP	M26539/12894610087/500257098304440126442163742077625799 : 6213FFB851A74F__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M26539/12894610087/500257098304440126442163742077625799 : 44D3546076360382 PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M26539/12894610087/500257098304440126442163742077625799 : 44D3546076360382 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26539/known_factors : 44D3546076360382 PRP without proof (not generated)
2016-12-20	kkmrkkblmbrbk	F-PM1	Factor: 500257098304440126442163742077625799 / (P-1, B1=500000000, B2=18755543263242)
2016-12-15	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12