3 371 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
7519650205860211201	19	62.7	old
164673606272685736770361	24	77.1	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	14925 / 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	F52ACB1A20A0D0A9	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F52ACB1A20A0D0A9	2	0	1	3
Verified	2017-12-07	ATH	F52ACB1A20A0D0A9	2	902	1	3
Verified	2020-04-17	Oliver Kruse	D78F6D2671D92460	2	70	5	3
Verified	2024-02-03	Wentao Huang	D78F6D2671D92460	2	1975	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3371/7519650205860211201/164673606272685736770361 : D78F6D2671D92460 PRP: Verified PRP without proof (small exponent)
2022-03-24	mikr	NF-PM1	B1=80000000000, B2=268799861365815780
2021-07-10	ViliamF	NF-PM1	B1=1000000000, B2=193000000000
2020-04-17	Oliver Kruse	C-PRP	M3371/7519650205860211201/164673606272685736770361 : D78F6D2671D92460 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3371/7519650205860211201/164673606272685736770361 : F52ACB1A20A0D0A9 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3371/7519650205860211201/164673606272685736770361 : F52ACB1A20A0D0A9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3371/known_factors : F52ACB1A20A0D0A9 PRP without proof (not generated)