27 817 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
9567490249	10	33.2	old
685578004537	12	39.3	2008-08-26 19:59:17
145384306470518263	18	57.0	2008-08-26 19:59:18
6131536597804412688391	22	72.4	2009-05-10 17:32:37
1605253543396576170014870609873	31	100.3	2018-03-18 12:55:34

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	811 / 4588

Estimated T-Level: 35.9 ⓘ

TF below 2^114 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	AA3BCDA422976E7D	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	AA3BCDA422976E7D	4	0	1	3
Verified (Factored)	2017-12-07	ATH	AA3BCDA422976E7D	4	20964	1	3
Verified	2018-03-20	Oliver Kruse	6BF6C2F854B53781	5	6051	5	3
Verified	2018-03-22	kracker	6BF6C2F854B53781	5	7892	5	3

History

Date	User	Type	Result
2023-03-20	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2023-02-06	nordi	NF-PM1	B1=5000000000
2018-03-22	kracker	C-PRP	M27817/9567490249/685578004537/145384306470518263/6131536597804412688391/1605253543396576170014870609873 : 6BF6C2F854B53781 PRP: Verified PRP without proof (small exponent)
2018-03-20	Oliver Kruse	C-PRP	M27817/9567490249/685578004537/145384306470518263/6131536597804412688391/1605253543396576170014870609873 : 6BF6C2F854B53781 PRP: Verified PRP without proof (small exponent)
2018-03-18	nordi	F-ECM	Factor: 1605253543396576170014870609873 / (ECM curve 65, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M27817/9567490249/685578004537/145384306470518263/6131536597804412688391 : AA3BCDA422976E7D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M27817/9567490249/685578004537/145384306470518263/6131536597804412688391 : AA3BCDA422976E7D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M27817/9567490249/685578004537/145384306470518263/6131536597804412688391 : AA3BCDA422976E7D PRP without proof (not generated)
2016-12-21	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2009-05-10	Matthias Wurtinger	F-ECM	Factor: 6131536597804412688391
2008-08-26	-Anonymous-	F-ECM	Factor: 145384306470518263
2008-08-26	-Anonymous-	F	Factor: 685578004537