1 654 663 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
19016303879303	14	44.1	old
125175428034953	15	46.8	2014-02-20 11:34:26
1300291196438231893279	22	70.1	2019-12-02 14:37:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	134 / 640

Estimated T-Level: 26.0 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift	Type	Base
Verified (Factored)	2025-09-02	Kriesel	F5BD5F55112C47C9	0	1	3

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-02	Oliver Kruse	29EF18B2C154DC16	2	0	1	3
Verified (Factored)	2017-11-02	kkmrkkblmbrbk	29EF18B2C154DC16	2	317880	1	3
Verified	2019-12-02	mrh	F5BD5F55112C47C9	3	1300908	5	3
Verified	2019-12-02	ATH	F5BD5F55112C47C9	3	768673	5	3

History

Date	User	Type	Result
2025-09-03	Carlos Pinho	CERT	PRP Certification CERT proof power = 6 Proof certified good
2025-09-02	Kriesel	C-PRP	F5BD5F55112C47C9 PRP proof power = 6 PRP: Verified (Factored) Proof certified good
2019-12-02	ATH	C-PRP	M1654663/19016303879303/125175428034953/1300291196438231893279 : F5BD5F55112C47C9 PRP: Verified PRP without proof (not generated)
2019-12-02	mrh	C-PRP	M1654663/19016303879303/125175428034953/1300291196438231893279 : F5BD5F55112C47C9 PRP: Verified PRP without proof (not generated)
2019-12-02	TJAOI	F-ECM	Factor: 1300291196438231893279 / (ECM curve 39, B1=50000, B2=5000000)
2017-11-02	kkmrkkblmbrbk	C-PRP	M1654663/19016303879303/125175428034953 : 29EF18B2C154DC16 PRP: Verified PRP without proof (not generated)
2017-10-02	Oliver Kruse	C-PRP	M1654663/19016303879303/125175428034953 : 29EF18B2C154DC16 PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2014-02-20	TJAOI	F	Factor: 125175428034953