1 812 773 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
268678337423	12	38.0	old
1684599072263	13	40.6	2008-07-15 07:46:55
840963608151075423073	21	69.5	2020-09-18 20:40:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	107 / 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)	2017-10-03	Oliver Kruse	CA8240A0A114914C	2	0	1	3
Verified (Factored)	2017-11-05	kkmrkkblmbrbk	CA8240A0A114914C	2	6827	1	3
Verified	2020-09-18	pew	BE46BA78DDE78337	3	350168	5	3
Verified	2020-09-19	kutens	BE46BA78DDE78337	3	789294	5	3

History

Date	User	Type	Result
2020-09-19	Ben Delo	CERT	PRP Certification Proof certified good
2020-09-19	kutens	C-PRP	M1812773/268678337423/1684599072263/840963608151075423073 : BE46BA78DDE78337 PRP proof power = 7 PRP: Verified Proof certified good
2020-09-18	pew	C-PRP	M1812773/268678337423/1684599072263/840963608151075423073 : BE46BA78DDE78337 PRP: Verified PRP without proof (not generated)
2020-09-18	MarkS	F-ECM	Factor: 840963608151075423073 / (ECM curve 3, B1=50000, B2=5000000, Sigma=2554041641799747)
2017-11-05	kkmrkkblmbrbk	C-PRP	M1812773/268678337423/1684599072263 : CA8240A0A114914C PRP: Verified PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1812773/268678337423/1684599072263 : CA8240A0A114914C PRP: Verified PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-07-15	J Feitsma	F	Factor: 1684599072263