4 274 813 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1635041358450976282930561	25	80.4	2022-06-15 19:37:08

ECM

Digits	B1	Curves
25	50000	12 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2000-03-01	Eric De Mund	917BB00E033D4EBD	2567555
Verified (Factored)	2000-09-23	Michiel van Loon	917BB00E033D4EBD	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-06-21	Poao	426093144A102AAB	1	1290262	5	3

P-1 factors

Date	Factor	B1	B2
2022-06-15	1635041358450976282930561	6200000	6200000

History

Date	User	Type	Result
2025-03-17	yuriy_5-1	NF-PM1	B1=6412218, B2=71655136410
2022-06-21	curtisc	CERT	PRP Certification Proof certified good
2022-06-21	Poao	C-PRP	M4274813/1635041358450976282930561 : 426093144A102AAB PRP proof power = 7 PRP: Verified Proof certified good
2022-06-15	DRobinsonPE	F-PM1	Factor: 1635041358450976282930561 / (P-1, B1=6200000)
2021-11-03	Aaron Haviland	NF-PM1	B1=440000, B2=13200000, e=12
2021-01-24	-Anonymous-	NF	no factor from 2^70 to 2^71
2021-01-23	-Anonymous-	NF	no factor from 2^69 to 2^70
2021-01-23	-Anonymous-	NF	no factor from 2^68 to 2^69
2018-11-16	chuenkit	NF	no factor from 2^67 to 2^68
2018-04-26	chuenkit	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-01-17	Squeeky_Squirrel	NF-PM1	B1=140000, B2=3220000, E=6
2015-06-12	snme2pm1	NF	no factor from 2^65 to 2^66
2014-08-15	-Anonymous-	NF-PM1	B1=65014
2014-06-02	lycorn	NF	no factor from 2^64 to 2^65
2014-05-05	Jayder	NF	no factor from 2^63 to 2^64
2012-01-31	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-09-01	Squeeky_Squirrel	NF-PM1	B1=50000, B2=762500, E=6
2010-12-29	markr	NF	no factor from 2^61 to 2^62
2009-08-13	Carsten Kossendey	NF-PM1	B1=25000, B2=337500

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