3 271 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
48583927489	11	35.5	old
8325300186033592877342321	25	82.8	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	14519 / 40830

Estimated T-Level: 51.8 ⓘ

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	657679744D06057B	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	657679744D06057B	2	780	1	3
Verified	2020-04-17	Oliver Kruse	EB194808650E4CB9	2	2559	5	3
Verified	2024-02-03	Wentao Huang	EB194808650E4CB9	2	2991	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3271/48583927489/8325300186033592877342321 : EB194808650E4CB9 PRP: Verified PRP without proof (small exponent)
2022-03-14	mikr	NF-PM1	B1=60000000000, B2=197036549531181360
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=191000000000
2020-04-17	Oliver Kruse	C-PRP	M3271/48583927489/8325300186033592877342321 : EB194808650E4CB9 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3271/48583927489/8325300186033592877342321 : 657679744D06057B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3271/48583927489/8325300186033592877342321 : 657679744D06057B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3271/48583927489/8325300186033592877342321 : 657679744D06057B PRP without proof (not generated)