10 381 421 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁹

TF target 2⁶⁸

Factored

Factor	Digits	Bits	Date
809750839	9	29.6	old
34385757893041	14	45.0	2008-09-08 06:32:23
171990362254510577	18	57.3	2015-06-05 11:11:25
29898489644522482271	20	64.7	2017-12-20 12:26:47
201628268886266431441	21	67.5	2022-08-10 09:34:27

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	PRP without proof (not generated)	2020-05-18	oodaira	5DC98F166B5104EC	4	2669434	5	3
Factored	Certified Good	2021-02-26	Oliver Kruse	5DC98F166B5104EC	4	6586141	5	3
Verified	Certified Good	2022-08-17	LordJulius	5DC98F166B5104EC	5	6563116	5	3

History

Date	User	Type	Result
2026-01-06	Sid & Andy	NF-PM1	B1=1700000, B2=1903266750
2023-10-18	James Heinrich	F	Factor: 201628268886266431441 / TF: 67-68
2023-01-09	LordJulius	NF	no factor TF: 68-69
2022-08-17	Wojciech Florek	CERT	Proof certified good
2022-08-17	LordJulius	C-PRP	M10381421/809750839/34385757893041/171990362254510577/29898489644522482271/201628268886266431441 : 5DC98F166B5104EC Proof Certified Good Proof Power: 8
2022-08-12	LordJulius	NF	no factor TF: 65-66
2022-08-12	LordJulius	NF	no factor TF: 66-67
2022-08-10	TJAOI	F	Factor: 201628268886266431441
2021-02-26	Greg	CERT	Proof certified good
2021-02-26	Oliver Kruse	C-PRP	M10381421/809750839/34385757893041/171990362254510577/29898489644522482271 : 5DC98F166B5104EC Proof Certified Good Proof Power: 8
2020-05-18	oodaira	C-PRP	M10381421/809750839/34385757893041/171990362254510577/29898489644522482271 : 5DC98F166B5104EC
2017-12-20	TJAOI	F	Factor: 29898489644522482271
2015-06-05	TJAOI	F	Factor: 171990362254510577
2008-09-08	Will Edgington	F	Factor: 34385757893041