2 309 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
61636447	8	25.9	old
90872630724974134166363993	26	86.2	old
3487911391991009430793086999731360111230111752236857	52	171.2	2012-07-22 23:12:02

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	40830 / 40830
60	260000000	60767 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 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	9C138134D494A212	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	9C138134D494A212	3	0	1	3
Verified	2017-12-07	ATH	9C138134D494A212	3	572	1	3
Verified	2020-04-17	Oliver Kruse	23CF0351B38576B5	3	1418	5	3
Verified	2024-02-03	Wentao Huang	23CF0351B38576B5	3	384	5	3

History

Date	User	Type	Result
2024-04-20	masser	NF-PM1	B1=100000000000, B2=129176504808351000
2024-02-03	Wentao Huang	C-PRP	M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 23CF0351B38576B5 PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 23CF0351B38576B5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 9C138134D494A212 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2309/61636447/90872630724974134166363993/3487911391991009430793086999731360111230111752236857 : 9C138134D494A212 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2309/known_factors : 9C138134D494A212 PRP without proof (not generated)
2016-09-09	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12
2012-07-22	Michael Kenn	F-ECM	Factor: 3487911391991009430793086999731360111230111752236857