1 627 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
25722871	8	24.6	old
6128193121	10	32.5	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	40830 / 40830
60	260000000	105362 / 105362
65	800000000	158526 / 194238

Estimated T-Level: 64.1 ⓘ

TF below 2^208 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	A954E771A6A42E96	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A954E771A6A42E96	2	101	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	69F7A9533B68D0DC	2	970	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	69F7A9533B68D0DC	2	408	5	3

History

Date	User	Type	Result
2022-08-10	mikr	NF-PM1	B1=500000000000, B2=2621980150246507050
2022-06-06	some-students	NF-PM1	B1=100000000, B2=1900000000
2021-07-22	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1627/25722871/6128193121 : 69F7A9533B68D0DC
2020-04-17	Oliver Kruse	C-PRP	M1627/25722871/6128193121 : 69F7A9533B68D0DC
2018-12-10	Joss	NF-PM1	B1=30000000000
2018-12-07	Joss	NF-PM1	B1=20000000000
2018-12-07	Joss	NF-PM1	B1=10000000000
2017-10-12	kkmrkkblmbrbk	C-PRP	M1627/25722871/6128193121 : A954E771A6A42E96
2017-09-21	Oliver Kruse	C-PRP	M1627/25722871/6128193121 : A954E771A6A42E96
2017-09-21	Oliver Kruse	C-PRP	M1627/25722871/6128193121 : A954E771A6A42E96
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2000-07-12	-anonymous-	F	Factor: 157634721114570391
1999-02-14	-anonymous-	F	Factor: 157634721114570391
1998-09-06	-anonymous-	F	Factor: 157634721114570391