105 407 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
843257	6	19.7	old
61864682373552182880386539055116808551	38	125.5	2024-09-06 19:58:49

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	560 / 1566

Estimated T-Level: 31.8 ⓘ

TF below 2^101 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	E538C1401D060274	1	0	1	3
Verified (Factored)	2017-10-13	kkmrkkblmbrbk	E538C1401D060274	1	11625	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	01789324BF990978	1	92346	5	3
Verified (Factored)	2022-04-15	LordJulius	01789324BF990978	1	70685	5	3
Verified	2024-09-06	cramsey87	01789324BF990978	2	95048	5	3

History

Date	User	Type	Result
2025-09-05	masser	NF-PM1	B1=400000000, B2=38685719632560
2024-09-07	yakman	CERT	PRP Certification Proof certified good
2024-09-06	cramsey87	C-PRP	M105407/843257/61864682373552182880386539055116808551 : 01789324BF990978 PRP proof power = 5 PRP: Verified Proof certified good
2024-09-06	cramsey87	F-ECM	Factor: 61864682373552182880386539055116808551 / (ECM curve 50, B1=1149431, B2=4135085955, Edwards Sigma=6021083724372853)
2022-04-16	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-16	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-16	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-16	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-16	LordJulius	NF	no factor from 2^57 to 2^58
2022-04-15	curtisc	CERT	PRP Certification Proof certified good
2022-04-15	LordJulius	C-PRP	M105407/843257 : 01789324BF990978 PRP proof power = 5 PRP: Verified (Factored) Proof certified good
2020-04-17	Oliver Kruse	C-PRP	M105407/843257 : 01789324BF990978 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M105407/843257 : E538C1401D060274 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M105407/843257 : E538C1401D060274 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M105407/843257 : E538C1401D060274 PRP without proof (not generated)
2016-11-21	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12