4 031 399 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
8062799	7	22.9	old
96753577	8	26.5	2008-09-07 21:14:26
13798422550463	14	43.6	2008-09-07 21:14:26
3666649360825662734376235271021670317369183303561	49	161.3	2024-07-23 07:03:17

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	228 / 1566

Estimated T-Level: 30.7 ⓘ

TF below 2^97 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-12	kkmrkkblmbrbk	C3B8E95C43B2F32E	3	1384566	5	3
Verified (Factored)	2018-01-07	Oliver Kruse	C3B8E95C43B2F32E	3	2497225	5	3
Verified	2024-07-23	kkmrkkblmbrbk	C3B8E95C43B2F32E	4	3958414	5	3

P-1 factors

Date	Factor	B1	B2
2024-07-23	3666649360825662734376235271021670317369183303561	150000000	962316935580

History

Date	User	Type	Result
2024-07-23	Sage Russell	CERT	PRP Certification Proof certified good
2024-07-23	kkmrkkblmbrbk	C-PRP	M4031399/8062799/96753577/13798422550463/3666649360825662734376235271021670317369183303561 : C3B8E95C43B2F32E PRP proof power = 7 PRP: Verified Proof certified good
2024-07-23	kkmrkkblmbrbk	F-PM1	Factor: 3666649360825662734376235271021670317369183303561 / (P-1, B1=150000000, B2=962316935580)
2024-06-16	kkmrkkblmbrbk	NF-PP1	Start=2/7, B1=40000000, B2=39960000000
2022-08-17	USAFSS	NF-PM1	B1=180000, B2=96593640
2018-01-07	Oliver Kruse	C-PRP	M4031399/8062799/96753577/13798422550463 : C3B8E95C43B2F32E PRP: Verified (Factored) PRP without proof (not generated)
2017-11-12	kkmrkkblmbrbk	C-PRP	M4031399/8062799/96753577/13798422550463 : C3B8E95C43B2F32E PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 13798422550463
2008-09-07	Will Edgington	F	Factor: 96753577