2 240 807 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
12857916030206498599463	23	73.4	2025-02-19 19:20:26
3300893910014754237392903	25	81.4	2015-12-03 19:16:29

ECM

Digits	B1	Curves
25	50000	143 / 280

Estimated T-Level: 22.6 ⓘ

TF below 2^70 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Martin Fahlgren	9B7FFD789833DDF8	0
Verified (Factored)	1999-02-14	Robert S. Frye	9B7FFD789833DDF8	418372

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-30	alpertron	D0D81F12395E3EC3	1	0	1	3
Verified (Factored)	2017-10-28	Oliver Kruse	D0D81F12395E3EC3	1	2022535	1	3
Verified	2025-02-19	Anton Tsvetkov	8CCCBCB5070D886D	2	823899	5	3

P-1 factors

Date	Factor	B1	B2
2015-12-03	3300893910014754237392903	1000000	6000000

History

Date	User	Type	Result
2025-02-19	69-bit_color_depth	CERT	PRP Certification Proof certified good
2025-02-19	Anton Tsvetkov	C-PRP	M2240807/3300893910014754237392903/12857916030206498599463 : 8CCCBCB5070D886D PRP proof power = 7 PRP: Verified Proof certified good
2025-02-19	Anton Tsvetkov	F-ECM	Factor: 12857916030206498599463 / (ECM curve 22, B1=88209, B2=36031710, Edwards Sigma=4322193339589420)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-10-28	Oliver Kruse	C-PRP	M2240807/3300893910014754237392903 : D0D81F12395E3EC3 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-30	alpertron	C-PRP	M2240807/3300893910014754237392903 : D0D81F12395E3EC3 PRP: Verified (Factored) PRP without proof (not generated)
2016-04-24	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-12-03	Alexander Dubrovin	F-PM1	Factor: 3300893910014754237392903 / (P-1, B1=1000000, B2=6000000, E=6)
2015-10-26	ramgeis	NF	no factor from 2^65 to 2^66
2015-03-10	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-03-10	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-08-25	-Anonymous-	NF-PM1	B1=128643
2013-08-21	David Campeau	NF	no factor from 2^62 to 2^63
2012-05-03	Sebastian Hornbostel	NF	no factor from 2^61 to 2^62
2011-01-08	markr	NF-PM1	B1=100000, B2=2050000, E=6
2010-11-10	Joss	NF-PM1	B1=30000
2009-01-11	Sturle Sunde	NF	no factor from 2^60 to 2^61