7 691 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
15383	5	13.9	old
23104702303	11	34.4	old
27900619894552913	17	54.6	old
36452227423410178577561153	26	84.9	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	12109 / 16550

Estimated T-Level: 48.7 ⓘ

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	6277575EF9DD244F	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	6277575EF9DD244F	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	6277575EF9DD244F	4	5195	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	380B9BF87ED6743C	4	7161	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	380B9BF87ED6743C	1	6103	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	380B9BF87ED6743C	4	6403	5	3

History

Date	User	Type	Result
2025-04-12	masser	NF-PP1	Start=152/41, B1=830000000, B2=829170000000
2025-03-30	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-19	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-09	yuriy_5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2024-02-03	Wentao Huang	C-PRP	M7691/15383/23104702303/27900619894552913/36452227423410178577561153 : 380B9BF87ED6743C
2022-05-12	Jorge Coveiro	C-PRP	M7691/15383 : 380B9BF87ED6743C
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7691/15383/23104702303/27900619894552913/36452227423410178577561153 : 380B9BF87ED6743C
2017-12-07	ATH	C-PRP	M7691/15383/23104702303/27900619894552913/36452227423410178577561153 : 6277575EF9DD244F
2017-10-02	kkmrkkblmbrbk	C-PRP	M7691/15383/23104702303/27900619894552913/36452227423410178577561153 : 6277575EF9DD244F
2017-09-21	Oliver Kruse	C-PRP	M7691/known_factors : 6277575EF9DD244F