4 373 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
61223	5	15.9	old
104953	6	16.7	old
1055060346113	13	39.9	old
21810458472013217	17	54.3	old
371039398055306807	18	58.4	old
279893739544010154377	21	67.9	old
368171582944903458527	21	68.3	old

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	15836 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	B96E130EA8A4D0B5	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B96E130EA8A4D0B5	7	0	1	3
Verified	2017-12-07	ATH	B96E130EA8A4D0B5	7	834	1	3
Verified	2020-04-17	Oliver Kruse	3A1E83CF1DEDE1E0	7	1411	5	3
Verified	2024-02-03	Wentao Huang	3A1E83CF1DEDE1E0	7	3164	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4373/61223/104953/1055060346113/21810458472013217/371039398055306807/279893739544010154377/368171582944903458527 : 3A1E83CF1DEDE1E0 PRP: Verified PRP without proof (small exponent)
2023-05-21	-Anonymous-	NF-PM1	B1=73000000000, B2=731797616052553050
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4373/61223/104953/1055060346113/21810458472013217/371039398055306807/279893739544010154377/368171582944903458527 : 3A1E83CF1DEDE1E0 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4373/61223/104953/1055060346113/21810458472013217/371039398055306807/279893739544010154377/368171582944903458527 : B96E130EA8A4D0B5 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4373/61223/104953/1055060346113/21810458472013217/371039398055306807/279893739544010154377/368171582944903458527 : B96E130EA8A4D0B5 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4373/known_factors : B96E130EA8A4D0B5 PRP without proof (not generated)