2 216 281 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
26021990636793988166809	23	74.5	2022-11-03 23:08:48
259583707827568080880103	24	77.8	2015-11-16 18:43:56

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	187 / 640

Estimated T-Level: 26.5 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Robert Clark	9B237B676F964F17	0
Verified (Factored)	1999-03-15	Jeroen Buisman	9B237B676F964F17	753644

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	0D7CB0E341AE2940	1	0	1	3
Verified (Factored)	2017-10-26	Oliver Kruse	0D7CB0E341AE2940	1	347332	1	3
Verified	2022-11-05	Nesowa	7AB026138A32FDCB	2	503997	5	3

P-1 factors

Date	Factor	B1	B2
2015-11-16	259583707827568080880103	1000000	7000000

History

Date	User	Type	Result
2022-11-05	gregor_krannich	CERT	PRP Certification Proof certified good
2022-11-05	Nesowa	C-PRP	M2216281/259583707827568080880103/26021990636793988166809 : 7AB026138A32FDCB PRP proof power = 7 PRP: Verified Proof certified good
2022-11-03	Nesowa	F-ECM	Factor: 26021990636793988166809 / (ECM curve 2, B1=50000, B2=27023535, Sigma=5685825629296603)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-10-26	Oliver Kruse	C-PRP	M2216281/259583707827568080880103 : 0D7CB0E341AE2940 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2216281/259583707827568080880103 : 0D7CB0E341AE2940 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-24	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-11-16	Alexander Dubrovin	F-PM1	Factor: 259583707827568080880103 / (P-1, B1=1000000, B2=7000000, E=12)
2015-10-23	ramgeis	NF	no factor from 2^65 to 2^66
2015-04-28	Squeeky_Squirrel	NF-PM1	B1=160000, B2=4600000, E=6
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
2014-09-29	Joss	NF-PM1	B1=142920
2014-05-26	Joss	NF-PM1	B1=113960
2013-01-23	dbaugh	NF	no factor from 2^62 to 2^63
2012-04-18	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2010-12-19	Oscar Östlin	NF-PM1	B1=85000, B2=1593750, E=6
2010-10-11	Oscar Östlin	NF-PM1	B1=75011
2009-01-10	Sturle Sunde	NF	no factor from 2^60 to 2^61