7 309 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
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	2050 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^132 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	AA5CE3944D0130A8	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	AA5CE3944D0130A8	4	0	1	3
Verified	2017-12-07	ATH	AA5CE3944D0130A8	4	5928	1	3
Verified	2020-04-17	Oliver Kruse	2C2DC50F2A41DD79	4	2886	5	3
Verified	2024-02-03	Wentao Huang	2C2DC50F2A41DD79	4	2266	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : 2C2DC50F2A41DD79 PRP: Verified PRP without proof (small exponent)
2023-08-30	-Anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : 2C2DC50F2A41DD79 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : AA5CE3944D0130A8 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7309/21069822509327/24753476019953/129338185981687/29680914257391002355912188445473 : AA5CE3944D0130A8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7309/known_factors : AA5CE3944D0130A8 PRP without proof (not generated)