754 249 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
108611857	9	26.7	old
64242404327	11	35.9	2008-07-16 09:25:45
1586829613026538072978001	25	80.4	2017-03-24 13:16:19
7934281130750125352930023937	28	92.7	2021-08-05 06:07:19
231022151622475694150006133188561857218735601	45	147.4	2014-10-06 18:22:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	3499A92104FF01D5	4	0	1	3
Verified (Factored)	2017-10-14	kkmrkkblmbrbk	3499A92104FF01D5	4	446669	1	3
Verified (Factored)	2020-04-20	Oliver Kruse	9CDF4C768E381D26	4	602072	5	3
Verified	2021-08-05	SRJ2877	9CDF4C768E381D26	5	163664	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-06	231022151622475694150006133188561857218735601	500000	15000000
2021-08-05	7934281130750125352930023937	15000000	1815000000

History

Date	User	Type	Result
2021-08-05	curtisc	CERT	PRP Certification Proof certified good
2021-08-05	SRJ2877	C-PRP	M754249/108611857/64242404327/1586829613026538072978001/7934281130750125352930023937/231022151622475694150006133188561857218735601 : 9CDF4C768E381D26 PRP proof power = 6 PRP: Verified Proof certified good
2021-08-05	ViliamF	F-PM1	Factor: 7934281130750125352930023937 / (P-1, B1=15000000, B2=1815000000)
2020-04-20	Oliver Kruse	C-PRP	M754249/108611857/64242404327/1586829613026538072978001/231022151622475694150006133188561857218735601 : 9CDF4C768E381D26 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-14	kkmrkkblmbrbk	C-PRP	M754249/108611857/64242404327/231022151622475694150006133188561857218735601/1586829613026538072978001 : 3499A92104FF01D5 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-05	Oliver Kruse	C-PRP	M754249/108611857/64242404327/231022151622475694150006133188561857218735601/1586829613026538072978001 : 3499A92104FF01D5 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M754249/108611857/64242404327/231022151622475694150006133188561857218735601/1586829613026538072978001 : 3499A92104FF01D5 PRP without proof (not generated)
2017-03-24	TJAOI	F-ECM	Factor: 1586829613026538072978001 / (ECM curve 41, B1=50000, B2=5000000)
2014-10-06	alpertron	F-PM1	Factor: 231022151622475694150006133188561857218735601 / (P-1, B1=500000, B2=15000000, E=12)
2008-07-16	J Feitsma	F	Factor: 64242404327