2 591 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
766937	6	19.5	old
225138531466609	15	47.7	old
17730171464865679	17	54.0	old
1181791842810499862725484463029336207	37	119.8	old

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	16550 / 16550
55	110000000	9294 / 40830

Estimated T-Level: 51.1 ⓘ

TF below 2^165 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	81C52B0336EF3FD5	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	81C52B0336EF3FD5	4	0	1	3
Verified	2017-12-07	ATH	81C52B0336EF3FD5	4	945	1	3
Verified	2020-04-17	Oliver Kruse	620FD11A9160F49E	4	2347	5	3
Verified	2024-02-03	Wentao Huang	620FD11A9160F49E	4	2354	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 620FD11A9160F49E PRP: Verified PRP without proof (small exponent)
2022-03-18	mikr	NF-PM1	B1=60000000000, B2=314766415184771550
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 620FD11A9160F49E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 81C52B0336EF3FD5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2591/766937/225138531466609/17730171464865679/1181791842810499862725484463029336207 : 81C52B0336EF3FD5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2591/known_factors : 81C52B0336EF3FD5 PRP without proof (not generated)