4 337 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
159211271	9	27.2	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	15554 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^167 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	3FD800C46390DE06	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	3FD800C46390DE06	1	3813	1	3
Verified	2020-04-17	Oliver Kruse	E5B70B22BDABD18E	1	1823	5	3
Verified	2024-02-03	Wentao Huang	E5B70B22BDABD18E	1	3526	5	3

History

Date	User	Type	Result
2025-05-15	masser	NF-PP1	Start=104/11, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M4337/159211271 : E5B70B22BDABD18E PRP: Verified PRP without proof (small exponent)
2023-05-21	-Anonymous-	NF-PM1	B1=74000000000, B2=741754046177194050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4337/159211271 : E5B70B22BDABD18E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4337/159211271 : 3FD800C46390DE06 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4337/159211271 : 3FD800C46390DE06 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4337/159211271 : 3FD800C46390DE06 PRP without proof (not generated)