21 738 809 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
163835954202323864055736780409888429284279	42	136.9	2022-01-23 17:15:16

Status	Date	User	Residue	Shift
Verified (Factored)	2005-08-01	Pablo Lotito	7394CCEE4ACD2DB4	5581116
Verified (Factored)	2009-07-26	Greg	7394CCEE4ACD2DB4	21363966

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-08-22	Naegi Makoto	F5E261E4725B3D05	1	870966	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-23	163835954202323864055736780409888429284279	798000	42386000

History

Date	User	Type	Result
2022-08-24	paulrector	CERT	PRP Certification Proof certified good
2022-08-22	Naegi Makoto	C-PRP	M21738809/163835954202323864055736780409888429284279 : F5E261E4725B3D05 PRP proof power = 8 PRP: Verified Proof certified good
2022-01-23	Architects Cubed	F-PM1	Factor: 163835954202323864055736780409888429284279 / (P-1, B1=798000, B2=42386000)
2021-10-02	TheJudger	NF	no factor from 2^73 to 2^74
2021-09-06	TheJudger	NF	no factor from 2^72 to 2^73
2021-09-06	TheJudger	NF	no factor from 2^71 to 2^72
2021-09-06	TheJudger	NF	no factor from 2^70 to 2^71
2018-05-03	ramgeis	NF	no factor from 2^69 to 2^70
2017-11-28	VictordeHollander	NF	no factor from 2^68 to 2^69
2017-05-03	ramgeis	NF	no factor from 2^67 to 2^68
2009-07-26	Greg	C-LL	7394CCEE4ACD2DB4