1 997 657 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
3272162167	10	31.6	old
646761430321	12	39.2	2008-07-15 07:49:08
1313725244838884348623	22	70.2	2022-09-09 12:06:40
198316109064812627938423199927	30	97.3	2021-09-27 18:59:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	59 / 640

Estimated T-Level: 25.5 ⓘ

TF below 2^80 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	FF83CA7945272FDD	2	0	1	3
Verified (Factored)	2017-11-13	kkmrkkblmbrbk	FF83CA7945272FDD	2	94328	1	3
Verified (Factored)	2021-09-27	SRJ2877	9CF78ACECC3EA59B	3	186984	5	3
Verified	2022-09-15	Perig	9CF78ACECC3EA59B	4	120897	5	3

History

Date	User	Type	Result
2022-09-15	PrairiePrime	CERT	PRP Certification Proof certified good
2022-09-15	Perig	C-PRP	M1997657/3272162167/646761430321/198316109064812627938423199927/1313725244838884348623 : 9CF78ACECC3EA59B PRP proof power = 7 PRP: Verified Proof certified good
2022-09-09	debrouxl	F-ECM	Factor: 1313725244838884348623 / (ECM curve 4, B1=50000, B2=7150000, Sigma=8269295263413118)
2022-08-15	USAFSS	NF-PM1	B1=132000, B2=134381520
2021-09-28	curtisc	CERT	PRP Certification Proof certified good
2021-09-27	SRJ2877	C-PRP	M1997657/3272162167/646761430321/198316109064812627938423199927 : 9CF78ACECC3EA59B PRP proof power = 7 PRP: Verified (Factored) Proof certified good
2021-09-27	MarkS	F-ECM	Factor: 198316109064812627938423199927 / (ECM curve 4, B1=50000, B2=5000000, Sigma=5939545078254610)
2017-11-13	kkmrkkblmbrbk	C-PRP	M1997657/3272162167/646761430321 : FF83CA7945272FDD PRP: Verified (Factored) PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1997657/3272162167/646761430321 : FF83CA7945272FDD PRP: Verified (Factored) PRP without proof (not generated)
2008-07-15	J Feitsma	F	Factor: 646761430321