26 699 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
175124435843303	15	47.3	old
4553578339426266360764031533837465856449	40	131.7	2016-12-13 22:58:08

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	860 / 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	2017-09-20	kkmrkkblmbrbk	7B9833BF4CF46613	2	0	1	3
Verified	2017-09-25	George Woltman	7B9833BF4CF46613	2	23307	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7B9833BF4CF46613	2	0	1	3
Unverified	2020-04-17	Oliver Kruse	5827024883D73B__	2	16301	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-13	4553578339426266360764031533837465856449	500000000	10000000000

History

Date	User	Type	Result
2023-04-11	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2023-03-15	nordi	NF-PM1	B1=5000000000
2020-04-17	Oliver Kruse	C-PRP	M26699/175124435843303/4553578339426266360764031533837465856449 : 5827024883D73B__ PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M26699/175124435843303/4553578339426266360764031533837465856449 : 7B9833BF4CF46613 PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M26699/known_factors : 7B9833BF4CF46613 PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M26699/175124435843303/4553578339426266360764031533837465856449 : 7B9833BF4CF46613 PRP without proof (not generated)
2016-12-13	kkmrkkblmbrbk	F-PM1	Factor: 4553578339426266360764031533837465856449 / (P-1, B1=500000000, B2=10000000000, E=12)