4 273 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
25639	5	14.6	old
719086079	9	29.4	old
132767035316260947713	21	66.8	old
58191431507503762014994956623	29	95.6	old
16937472485366180815044482979818421310092932459932943	53	173.5	2020-10-01 03:41:55

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	16550 / 16550
55	110000000	12016 / 40830

Estimated T-Level: 51.5 ⓘ

TF below 2^166 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	0EA9905160319417	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	0EA9905160319417	4	0	1	3
Verified (Factored)	2017-12-07	ATH	0EA9905160319417	4	2450	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	8AFA05C962E70FEF	4	3115	5	3
Verified	2020-10-01	M Miller	8AFA05C962E70FEF	5	77	5	3
Verified	2020-10-01	Team_Inspector	8AFA05C962E70FEF	5	3288	5	3

History

Date	User	Type	Result
2023-05-20	-Anonymous-	NF-PM1	B1=75000000000, B2=751710476301835050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-01	Team_Inspector	C-PRP	M4273/25639/719086079/132767035316260947713/58191431507503762014994956623/16937472485366180815044482979818421310092932459932943 : 8AFA05C962E70FEF PRP: Verified PRP without proof (small exponent)
2020-10-01	M Miller	C-PRP	M4273/25639/719086079/132767035316260947713/58191431507503762014994956623/16937472485366180815044482979818421310092932459932943 : 8AFA05C962E70FEF PRP: Verified PRP without proof (small exponent)
2020-10-01	Ryan Propper	F-ECM	Factor: 16937472485366180815044482979818421310092932459932943 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=3652384067019655305)
2020-04-17	Oliver Kruse	C-PRP	M4273/25639/719086079/132767035316260947713/58191431507503762014994956623 : 8AFA05C962E70FEF PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4273/25639/719086079/132767035316260947713/58191431507503762014994956623 : 0EA9905160319417 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4273/25639/719086079/132767035316260947713/58191431507503762014994956623 : 0EA9905160319417 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4273/known_factors : 0EA9905160319417 PRP without proof (not generated)