3 643 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
1627896409	10	30.6	old
1020605255635209796233457907818483844612929913016104985965624321	64	209.3	2020-06-23 09:43:44

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	14110 / 40830

Estimated T-Level: 51.7 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	E0058C5479F146AA	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	E0058C5479F146AA	1	913	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	A589E5D1359F4BE4	1	212	5	3
Verified	2020-06-23	M Miller	A589E5D1359F4BE4	2	1718	5	3

History

Date	User	Type	Result
2022-07-18	mikr	NF-PM1	B1=120000000000, B2=314605609292724750
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-06-23	M Miller	C-PRP	M3643/1627896409/1020605255635209796233457907818483844612929913016104985965624321 : A589E5D1359F4BE4 PRP: Verified PRP without proof (small exponent)
2020-06-23	Ryan Propper	F-ECM	Factor: 1020605255635209796233457907818483844612929913016104985965624321 / (ECM curve 1, B1=260000000)
2020-04-17	Oliver Kruse	C-PRP	M3643/1627896409 : A589E5D1359F4BE4 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3643/1627896409 : E0058C5479F146AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3643/1627896409 : E0058C5479F146AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3643/1627896409 : E0058C5479F146AA PRP without proof (not generated)