7 369 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
135953283494993	15	47.0	old
144765124792625012737	21	67.0	old
2554278053018217800601632497196260142975094313	46	150.8	2021-03-23 17:05:47

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2301 / 9201

Estimated T-Level: 41.3 ⓘ

TF below 2^132 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	E49EAECCD1A31EBE	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E49EAECCD1A31EBE	2	7281	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	37A86FC3535432ED	2	7149	5	3
Verified	2021-03-24	Team_Inspector	37A86FC3535432ED	3	4399	5	3

History

Date	User	Type	Result
2025-03-24	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-16	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2023-08-30	-Anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-03-24	Team_Inspector	C-PRP	M7369/135953283494993/144765124792625012737/2554278053018217800601632497196260142975094313 : 37A86FC3535432ED PRP: Verified PRP without proof (small exponent)
2021-03-23	Ryan Propper	F-ECM	Factor: 2554278053018217800601632497196260142975094313 / (ECM curve 1, B1=11000000, B2=30114149530, Sigma=11723190224748793253)
2020-04-17	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : 37A86FC3535432ED PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE PRP without proof (not generated)