2 193 661 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1641793662681551022647	22	70.5	2018-03-15 07:23:34
26435815331060992365984127	26	84.5	2025-04-10 08:34:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	166 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Luca Asberto	7CD85ED6F330C198	0
Verified (Factored)	1999-02-07	chris clark	7CD85ED6F330C198	89835

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2018-03-15	_p95holder_	73335A01C75ECF37	1	1615984	5	3
Verified (Factored)	2018-03-16	trebor	73335A01C75ECF37	1	1821625	5	3
Verified	2025-04-15	Perig	73335A01C75ECF37	2	1408914	5	3

P-1 factors

Date	Factor	B1	B2
2018-03-15	1641793662681551022647	2500000	125000000

History

Date	User	Type	Result
2025-04-17	pilot no more	CERT	PRP Certification Proof certified good
2025-04-15	Perig	C-PRP	M2193661/1641793662681551022647/26435815331060992365984127 : 73335A01C75ECF37 PRP proof power = 7 PRP: Verified Proof certified good
2025-04-10	TJAOI	F-ECM	Factor: 26435815331060992365984127 / (ECM curve 19, B1=250000, B2=254050335, Edwards Sigma=8170396933327594)
2018-03-16	trebor	C-PRP	M2193661/1641793662681551022647 : 73335A01C75ECF37 PRP: Verified (Factored) PRP without proof (not generated)
2018-03-15	_p95holder_	C-PRP	M2193661/1641793662681551022647 : 73335A01C75ECF37 PRP: Verified (Factored) PRP without proof (not generated)
2018-03-15	mikr	F-PM1	Factor: 1641793662681551022647 / (P-1, B1=2500000, B2=125000000, E=12)
2016-12-01	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-13	Joss	NF-PM1	B1=441748, B2=4417480, E=6
2016-01-04	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-04-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-12	Joss	NF-PM1	B1=148518
2014-07-04	Joss	NF-PM1	B1=119259
2013-12-03	LaurV	NF	no factor from 2^62 to 2^63
2011-01-11	markr	NF-PM1	B1=90000, B2=1620000, E=6
2010-11-09	Joss	NF-PM1	B1=30000
2010-11-04	Joss	NF-PM1	B1=15000
2009-01-07	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61

Username
Password