1 103 981 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1304905543	10	30.3	old
7266402943	10	32.8	2008-07-15 09:55:19
1493358667414337396017	22	70.3	2014-12-22 12:46:21
10366355574433901650101363161	29	93.1	2020-06-22 09:21:12

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	722036BE40157BD0	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-05	Oliver Kruse	78A331EC4CB59265	3	0	1	3
Verified (Factored)	2017-10-16	Oliver Kruse	78A331EC4CB59265	3	289854	1	3
Verified (Factored)	2018-01-01	ATH	78A331EC4CB59265	3	308674	1	3
Verified	2020-06-22	M Miller	722036BE40157BD0	4	354132	5	3
Verified	2020-06-22	ATH	722036BE40157BD0	4	1059518	5	3

P-1 factors

Date	Factor	B1	B2
2014-12-22	1493358667414337396017	300000	10000000

History

Date	User	Type	Result
2025-09-02	feather	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	722036BE40157BD0 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-05-06	cramsey87	NF-PM1	B1=500000, B2=5014687860
2020-06-22	ATH	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017/10366355574433901650101363161 : 722036BE40157BD0 PRP: Verified PRP without proof (not generated)
2020-06-22	M Miller	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017/10366355574433901650101363161 : 722036BE40157BD0 PRP: Verified PRP without proof (not generated)
2020-06-22	TJAOI	F-ECM	Factor: 10366355574433901650101363161 / (ECM curve 29, B1=250000, B2=25000000)
2018-01-01	ATH	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017 : 78A331EC4CB59265 PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017 : 78A331EC4CB59265 PRP: Verified PRP without proof (not generated)
2017-10-05	Oliver Kruse	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017 : 78A331EC4CB59265 PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1103981/1304905543/7266402943/1493358667414337396017 : 78A331EC4CB59265 PRP without proof (not generated)
2014-12-22	alpertron	F-PM1	Factor: 1493358667414337396017 / (P-1, B1=300000, B2=10000000, E=12)
2008-07-15	J Feitsma	F	Factor: 7266402943