1 106 993 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
3963647370991851481	19	61.8	2011-01-04 11:30:46

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
Verified (Factored)		David Slowinski	1EF4	0
Verified (Factored)		Edo de Roo Jankovic	C98308C10108FEF4	0
Verified (Factored)	2002-04-20	S57483	C98308C10108FEF4	85442

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-01	Kriesel	80EC6DA2E4FF374E	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-29	Oliver Kruse	48111331E507C1FF	1	0	1	3
Verified	2017-10-16	Oliver Kruse	48111331E507C1FF	1	391130	1	3
Verified	2018-01-02	ATH	48111331E507C1FF	1	637851	1	3

History

Date	User	Type	Result
2025-09-02	Massimo Cappelli (ik5pwa)	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-01	Kriesel	C-PRP	80EC6DA2E4FF374E PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2024-12-31	yuriy_5-1	NF-PM1	B1=218000, B2=856035180
2022-04-12	LordJulius	NF	no factor from 2^63 to 2^64
2022-04-12	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-12	LordJulius	NF	no factor from 2^1 to 2^61
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^60
2022-03-07	firejuggler	NF	no factor from 2^57 to 2^60
2018-01-02	ATH	C-PRP	M1106993/3963647370991851481 : 48111331E507C1FF PRP: Verified PRP without proof (not generated)
2017-10-16	Oliver Kruse	C-PRP	M1106993/3963647370991851481 : 48111331E507C1FF PRP: Verified PRP without proof (not generated)
2017-09-29	Oliver Kruse	C-PRP	M1106993/3963647370991851481 : 48111331E507C1FF PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2011-01-04	arnaud	F-ECM	Factor: 3963647370991851481
2009-02-16	Sturle Sunde	NF	no factor from 2^60 to 2^61