444 461 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
72352156350769	14	46.0	old
68334863833915784071	20	65.9	2014-11-26 19:12:11
7696095368865570632557447	25	82.7	2020-07-04 21:57:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	235 / 640

Estimated T-Level: 26.8 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-24	Oliver Kruse	CCEFAC145438381E	2	0	1	3
Verified (Factored)	2017-09-24	Oliver Kruse	CCEFAC145438381E	2	0	1	3
Verified (Factored)	2017-11-09	kkmrkkblmbrbk	CCEFAC145438381E	2	142835	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	CA97F81F4AAA0E33	2	150736	5	3
Verified	2020-07-05	mnd9	CA97F81F4AAA0E33	3	388312	5	3
Verified	2020-07-08	Klaus Nordmann	CA97F81F4AAA0E33	3	432576	5	3

P-1 factors

Date	Factor	B1	B2
2014-11-26	68334863833915784071	3000000	100000000

History

Date	User	Type	Result
2020-07-08	Klaus Nordmann	C-PRP	M444461/72352156350769/68334863833915784071/7696095368865570632557447 : CA97F81F4AAA0E33 PRP: Verified PRP without proof (small exponent)
2020-07-05	mnd9	C-PRP	M444461/72352156350769/68334863833915784071/7696095368865570632557447 : CA97F81F4AAA0E33 PRP: Verified PRP without proof (small exponent)
2020-07-04	nordi	F-ECM	Factor: 7696095368865570632557447 / (ECM curve 35, B1=250000, B2=25000000, Sigma=1048983586046649)
2020-04-18	Oliver Kruse	C-PRP	M444461/72352156350769/68334863833915784071 : CA97F81F4AAA0E33 PRP: Verified PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M444461/72352156350769/68334863833915784071 : CCEFAC145438381E PRP: Verified PRP without proof (small exponent)
2017-09-24	Oliver Kruse	C-PRP	M444461/72352156350769/68334863833915784071 : CCEFAC145438381E PRP: Verified PRP without proof (not generated)
2017-09-24	Oliver Kruse	C-PRP	M444461/72352156350769/68334863833915784071 : CCEFAC145438381E PRP: Verified PRP without proof (not generated)
2014-11-26	alpertron	F-PM1	Factor: 68334863833915784071 / (P-1, B1=3000000, B2=100000000, E=12)