7 591 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
1897751	7	20.9	old
115292952187761913	18	56.7	old
235826286345671921	18	57.7	old
67515047802122745125800133416771836857	38	125.7	2017-03-12 12:32:39

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	12657 / 16550

Estimated T-Level: 48.8 ⓘ

TF below 2^157 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	1FA0CA1B25D8A360	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	1FA0CA1B25D8A360	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	1FA0CA1B25D8A360	4	5324	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	902ECB7E33182369	4	4189	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	902ECB7E33182369	4	6873	5	3

History

Date	User	Type	Result
2025-05-26	masser	NF-PP1	Start=163/37, B1=1300000000, B2=1298700000000
2024-12-06	yuriy_5-1	NF-PM1	B1=16000000000, B2=87524594410543290
2024-02-03	Wentao Huang	C-PRP	M7591/1897751/115292952187761913/235826286345671921/67515047802122745125800133416771836857 : 902ECB7E33182369
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7591/1897751/115292952187761913/235826286345671921/67515047802122745125800133416771836857 : 902ECB7E33182369
2017-12-07	ATH	C-PRP	M7591/1897751/115292952187761913/235826286345671921/67515047802122745125800133416771836857 : 1FA0CA1B25D8A360
2017-10-02	kkmrkkblmbrbk	C-PRP	M7591/1897751/115292952187761913/235826286345671921/67515047802122745125800133416771836857 : 1FA0CA1B25D8A360
2017-09-21	Oliver Kruse	C-PRP	M7591/known_factors : 1FA0CA1B25D8A360
2017-03-12	kkmrkkblmbrbk	F-ECM	Factor: 67515047802122745125800133416771836857