5 737 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
438596920096930297	18	58.6	old
14000187185792325407	20	63.6	old
24060584042142451081	20	64.4	old
36408345754310652814891933417	29	94.9	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	2766 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 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	F3281EAA5169995E	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F3281EAA5169995E	4	0	1	3
Verified	2017-12-07	ATH	F3281EAA5169995E	4	2964	1	3
Verified	2020-04-17	Oliver Kruse	41ADF9F55A58649E	4	2596	5	3
Verified	2024-02-03	Wentao Huang	41ADF9F55A58649E	4	2324	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5737/438596920096930297/14000187185792325407/24060584042142451081/36408345754310652814891933417 : 41ADF9F55A58649E PRP: Verified PRP without proof (small exponent)
2023-07-18	-Anonymous-	NF-PM1	B1=43000000000, B2=180124832351714250
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006397938886340
2020-04-17	Oliver Kruse	C-PRP	M5737/438596920096930297/14000187185792325407/24060584042142451081/36408345754310652814891933417 : 41ADF9F55A58649E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5737/438596920096930297/14000187185792325407/24060584042142451081/36408345754310652814891933417 : F3281EAA5169995E PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5737/438596920096930297/14000187185792325407/24060584042142451081/36408345754310652814891933417 : F3281EAA5169995E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5737/known_factors : F3281EAA5169995E PRP without proof (not generated)