9 004 057 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
114720329796908965785289201	27	86.6	2018-03-10 10:55:26

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)		Michael Lee	8304B30D9B0C0DB2	0
Verified (Factored)	2003-02-27	Willi Meyer	8304B30D9B0C0DB2	3926754

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-18	Niels_Mache_Nextcloud	FD1A418EFA35F398	1	2792567	5	3
Verified	2020-10-04	kutens	FD1A418EFA35F398	1	3347913	5	3

P-1 factors

Date	Factor	B1	B2
2018-03-10	114720329796908965785289201	2500000	72000000

History

Date	User	Type	Result
2020-10-04	GAN	CERT	PRP Certification Proof certified good
2020-10-04	kutens	C-PRP	M9004057/114720329796908965785289201 : FD1A418EFA35F398 PRP proof power = 8 PRP: Verified Proof certified good
2019-05-18	Niels_Mache_Nextcloud	C-PRP	M9004057/114720329796908965785289201 : FD1A418EFA35F398 PRP: Verified PRP without proof (not generated)
2018-03-10	mikr	F-PM1	Factor: 114720329796908965785289201 / (P-1, B1=2500000, B2=72000000, E=12)
2016-12-20	snme2pm1	NF	no factor from 2^67 to 2^68
2016-03-16	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-12	VictordeHollander	NF	no factor from 2^65 to 2^66
2012-11-04	Nesowa	NF-PM1	B1=100000, B2=1725000, E=6
2011-10-14	Rob_Dee	NF	no factor from 2^64 to 2^65