7 369 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	9201 / 9201
50	44000000	4151 / 16550

Estimated T-Level: 46.3 ⓘ

TF below 2^149 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	E49EAECCD1A31EBE	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E49EAECCD1A31EBE	2	7281	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	37A86FC3535432ED	2	7149	5	3
Verified	No proof (small exponent)	2021-03-24	Team_Inspector	37A86FC3535432ED	3	4399	5	3

History

Date	User	Type	Result
2025-04-13	masser	NF-PP1	Start=127/41, B1=830000000, B2=829170000000
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	ANONYMOUS	NF-PM1	B1=100000000
2021-03-24	Team_Inspector	C-PRP	M7369/135953283494993/144765124792625012737/2554278053018217800601632497196260142975094313 : 37A86FC3535432ED
2021-03-23	Ryan Propper	F-ECM	Factor: 2554278053018217800601632497196260142975094313
2020-04-17	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : 37A86FC3535432ED
2017-10-12	kkmrkkblmbrbk	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE
2017-09-21	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE
2017-09-21	Oliver Kruse	C-PRP	M7369/135953283494993/144765124792625012737 : E49EAECCD1A31EBE
2009-10-25	Carsten Kossendey	F-PM1	Factor: 135953283494993
1999-04-23	-anonymous-	F-PM1	Factor: 135953283494993