7 309 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
21069822509327	14	44.3	old
24753476019953	14	44.5	old
129338185981687	15	46.9	old
29680914257391002355912188445473	32	104.5	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	2502 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	AA5CE3944D0130A8	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	AA5CE3944D0130A8	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	AA5CE3944D0130A8	4	5928	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2C2DC50F2A41DD79	4	2886	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	2C2DC50F2A41DD79	4	2266	5	3

History

Date	User	Type	Result
2025-04-12	masser	NF-PP1	Start=100/59, B1=830000000, B2=829170000000
2025-03-24	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-16	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-02-03	Wentao Huang	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : 2C2DC50F2A41DD79
2023-08-30	-anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : 2C2DC50F2A41DD79
2017-12-07	ATH	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : AA5CE3944D0130A8
2017-10-02	kkmrkkblmbrbk	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : AA5CE3944D0130A8
2017-09-21	Oliver Kruse	C-PRP	M7309/known_factors : AA5CE3944D0130A8
1999-04-23	-anonymous-	F	Factor: 129338185981687
1999-04-23	-anonymous-	F	Factor: 21069822509327