2 206 189 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
86595641202481582582921423	26	86.2	2015-11-10 05:10:32

ECM

Digits	B1	Curves
25	50000	234 / 280

Estimated T-Level: 24.2 ⓘ

TF below 2^75 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Michael Schruf	111A5C62B46FD26A	0
Verified (Factored)	1999-02-07	Mac Lean Agencies bv	111A5C62B46FD26A	1338

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	792A5E34A4BEB920	1	0	1	3
Verified	2017-10-25	Oliver Kruse	792A5E34A4BEB920	1	389621	1	3

P-1 factors

Date	Factor	B1	B2
2015-11-10	86595641202481582582921423	1500000	5500000

History

Date	User	Type	Result
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-10-25	Oliver Kruse	C-PRP	M2206189/86595641202481582582921423 : 792A5E34A4BEB920 PRP: Verified PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2206189/86595641202481582582921423 : 792A5E34A4BEB920 PRP: Verified PRP without proof (not generated)
2016-04-12	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-11-10	Alexander Dubrovin	F-PM1	Factor: 86595641202481582582921423 / (P-1, B1=1500000, B2=5500000, E=6)
2015-11-09	Alexander Dubrovin	NF-PM1	B1=1000000, B2=2500000, E=6
2015-10-21	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-06	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-06	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-17	Joss	NF-PM1	B1=148186
2014-06-24	Joss	NF-PM1	B1=119093
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2011-01-09	markr	NF-PM1	B1=90000, B2=1642500, E=6
2011-01-01	Joss	NF-PM1	B1=30000
2010-11-14	Joss	NF-PM1	B1=20000
2010-11-05	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