872 411 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
2372467486067763549363781487172299350667340007	46	150.7	2023-04-30 10:02:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	159 / 640

Estimated T-Level: 26.2 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1EB5	0
Verified (Factored)		Glenn Davison	48F1EEC0C4ECDEB5	0
Verified (Factored)	2002-01-28	Marc Getty / Phil Fizur	48F1EEC0C4ECDEB5	320247
Verified (Factored)	2015-04-11	MadPoo	48F1EEC0C4ECDEB5	723077

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-04-30	lycorn	4D183167F0070571	1	851052	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-30	2372467486067763549363781487172299350667340007	50000000	1502389638750

History

Date	User	Type	Result
2023-04-30	InsolentJaguar	CERT	PRP Certification Proof certified good
2023-04-30	lycorn	C-PRP	M872411/2372467486067763549363781487172299350667340007 : 4D183167F0070571 PRP proof power = 6 PRP: Verified Proof certified good
2023-04-30	lycorn	F-PM1	Factor: 2372467486067763549363781487172299350667340007 / (P-1, B1=50000000, B2=1502389638750)
2023-03-18	masser	NF-PP1	Start=6/5, B1=6000000, B2=282000000
2023-03-14	masser	NF-PP1	Start=2/7, B1=6000000, B2=288000000
2023-03-14	masser	NF-PP1	Start=174/43, B1=6000000, B2=276000000
2023-02-09	Joss	NF-PM1	B1=1000000, B2=6662494020
2022-11-25	Joss	NF-PM1	B1=2513500, B2=3331247010
2022-03-07	LordJulius	NF	no factor from 2^58 to 2^59
2022-02-24	Gordon Spence	NF	no factor from 2^67 to 2^68
2019-03-17	lycorn	NF	no factor from 2^66 to 2^67
2018-05-16	BloodERazor	NF	no factor from 2^65 to 2^66
2016-02-10	lycorn	NF	no factor from 2^64 to 2^65
2015-11-29	Sid & Andy	NF-PM1	B1=8724110, B2=261723300, E=12
2015-10-06	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-10-06	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-04-11	MadPoo	C-LL	48F1EEC0C4ECDEB5
2015-02-06	TJAOI	NF	no factor from 2^61 to 2^62
2013-11-03	David Campeau	NF-PM1	B1=2010000, B2=72360000, E=12
2012-10-25	Joss	NF-PM1	B1=1927749
2012-09-21	Joss	NF-PM1	B1=1744822
2012-03-29	Joss	NF-PM1	B1=1189630
2012-01-27	Joss	NF-PM1	B1=793087
2011-09-05	Joss	NF-PM1	B1=396543
2011-07-12	Joss	NF-PM1	B1=237926
2011-02-21	Joss	NF-PM1	B1=200000
2010-05-20	Architects Cubed	NF	no factor from 2^60 to 2^61

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