827 867 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
2505909486900649231680885080259337	34	110.9	2014-03-26 18:28:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	30E5	0
Verified (Factored)		Edward Brisse	737F73B1335530E5	0
Verified (Factored)		Paul Victor Novarese	737F73B1335530E5	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-28	Oliver Kruse	B03EC17DCDFC4EF8	1	0	1	3
Verified	2017-10-14	Oliver Kruse	B03EC17DCDFC4EF8	1	431389	1	3
Verified	2017-12-18	ATH	B03EC17DCDFC4EF8	1	361992	1	3
Unverified (Reliable)	2020-04-21	Oliver Kruse	CAE29223FA0D5E__	1	142622	5	3

P-1 factors

Date	Factor	B1	B2
2014-03-26	2505909486900649231680885080259337	8129770	357709880

History

Date	User	Type	Result
2020-04-21	Oliver Kruse	C-PRP	M827867/2505909486900649231680885080259337 : CAE29223FA0D5E__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-18	ATH	C-PRP	M827867/2505909486900649231680885080259337 : B03EC17DCDFC4EF8 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M827867/2505909486900649231680885080259337 : B03EC17DCDFC4EF8 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M827867/2505909486900649231680885080259337 : B03EC17DCDFC4EF8 PRP: Unverified (Reliable) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2014-03-26	mikr	F-PM1	Factor: 2505909486900649231680885080259337
2010-06-01	Architects Cubed	NF	no factor from 2^60 to 2^61
2008-11-12	markr	NF-PM1	B1=1000000, B2=40000000, E=12
2008-10-11	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-10-11	Sturle Sunde	NF	no factor from 2^58 to 2^59