9 801 817 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
98399802070509412793	20	66.4	2016-11-03 17:14:05

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-06-29	Jason Lee	3B5C2DF74CED9F21	5369926
Verified (Factored)	2003-10-14	Gord Palameta	3B5C2DF74CED9F21	3095484

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-10-28	ATH	7E53EB36F9917A03	1	5714980	5	3
Verified	2021-01-01	kutens	7E53EB36F9917A03	1	4182572	5	3

History

Date	User	Type	Result
2021-01-01	ANONYMOUS	CERT	PRP Certification Proof certified good
2021-01-01	kutens	C-PRP	M9801817/98399802070509412793 : 7E53EB36F9917A03 PRP proof power = 8 PRP: Verified Proof certified good
2019-10-28	ATH	C-PRP	M9801817/98399802070509412793 : 7E53EB36F9917A03 PRP: Verified PRP without proof (not generated)
2016-11-03	Conductor	F	Factor: 98399802070509412793 / TF: 66-67
2015-04-22	VictordeHollander	NF	no factor from 2^65 to 2^66
2013-08-24	Nesowa	NF	no factor from 2^64 to 2^65
2013-03-04	Nesowa	NF-PM1	B1=120000, B2=2370000, E=6