4 118 417 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
31747900187312689823633	23	74.7	2024-11-26 18:08:46

ECM

Digits	B1	Curves
25	50000	124 / 280

Estimated T-Level: 22.2 ⓘ

TF below 2^69 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-09-13	Albrecht Heeffer	DA28E48B81A74F95	0
Verified (Factored)	1999-10-29	Timothy Braun	DA28E48B81A74F95	637952

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2024-11-26	fordobr	D556312E5AC0DCED	1	2645901	5	3

History

Date	User	Type	Result
2024-11-26	ManuelJC	CERT	PRP Certification Proof certified good
2024-11-26	fordobr	C-PRP	M4118417/31747900187312689823633 : D556312E5AC0DCED PRP proof power = 7 PRP: Verified Proof certified good
2024-11-26	fordobr	F-ECM	Factor: 31747900187312689823633 / (ECM curve 28, B1=63602, B2=75069225, Edwards Sigma=5115458281051852)
2022-04-26	mikr	NF	no factor from 2^70 to 2^71
2021-08-29	ATH	NF-PP1	Start=2/7, B1=2500000, B2=167500000
2021-06-23	axn	NF-PM1	B1=13000000, B2=650000000
2021-05-30	axn	NF	no factor from 2^69 to 2^70
2021-05-30	axn	NF	no factor from 2^68 to 2^69
2020-11-25	Carlos Pinho	NF-PM1	B1=152000, B2=3971000, E=6
2018-11-19	Yxinity	NF	no factor from 2^67 to 2^68
2017-12-12	Yxinity	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-01	snme2pm1	NF	no factor from 2^65 to 2^66
2013-10-28	David Campeau	NF	no factor from 2^64 to 2^65
2013-09-09	Jayder	NF	no factor from 2^63 to 2^64
2013-06-23	Squeeky_Squirrel	NF-PM1	B1=125000, B2=2343750, E=6
2011-08-03	USAFSS	NF-PM1	B1=40000, B2=580000
2011-07-01	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-12-01	Grant McCracken	NF	no factor from 2^61 to 2^62
2009-08-01	Carsten Kossendey	NF-PM1	B1=25000, B2=325000

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