3 074 051 Exponent Status

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
1881691306457696329553	22	70.7	2025-08-01 20:09:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	67 / 640

Estimated T-Level: 25.5 ⓘ

TF below 2^80 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-02-08	John Zabel	D100987979FC0E87	0
Verified (Factored)	1999-06-15	Grzegorz Pycka	D100987979FC0E87	1154042

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2025-09-14	kkmrkkblmbrbk	EFE769FA886C37F6	1	2310453	5	3

History

Date	User	Type	Result
2025-09-14	Fabrice Bellet	CERT	PRP Certification Proof certified good
2025-09-14	kkmrkkblmbrbk	C-PRP	M3074051/1881691306457696329553 : EFE769FA886C37F6 PRP proof power = 7 PRP: Verified Proof certified good
2025-08-07	James Heinrich	F	Factor: 1881691306457696329553 / TF: 70-71
2025-08-01	Architects Cubed	F	Factor: 1881691306457696329553 / TF: 70-71*
2023-01-23	Sid & Andy	NF-PM1	B1=9000000, B2=23085969270
2022-05-24	mikr	NF	no factor from 2^69 to 2^70
2022-02-17	Joss	NF	no factor from 2^67 to 2^68
2021-03-16	TJAOI	NF	no factor from 2^68 to 2^69
2018-08-05	ramgeis	NF	no factor from 2^67 to 2^68
2018-02-04	mikr	NF-PM1	B1=3000000, B2=100000000, E=12
2017-05-13	Gordon Spence	NF	no factor from 2^66 to 2^67
2017-01-04	Joss	NF-PM1	B1=132000
2016-10-23	Squeeky_Squirrel	NF-PM1	B1=195000, B2=5460000, E=12
2015-06-08	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-29	Sid & Andy	NF	no factor from 2^61 to 2^62
2010-09-20	markr	NF-PM1	B1=110000, B2=2447500, E=6
2009-02-13	Sturle Sunde	NF	no factor from 2^60 to 2^61

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