26 111 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
52223	5	15.7	old
208889	6	17.7	2008-08-26 19:59:13
2082921390300012119800459457022167	34	110.7	2018-06-30 16:18:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	810 / 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	CE9B9E469DC8E21B	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	CE9B9E469DC8E21B	2	8505	1	3
Verified	2018-06-30	Oliver Kruse	FBD1614D83643001	3	8478	5	3
Verified	2018-07-01	Battlemaxx	FBD1614D83643001	3	25427	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	FBD1614D83643001	1	20610	5	3

History

Date	User	Type	Result
2023-03-22	nordi	NF-PM1	B1=5000000000, B2=1516930270635780
2023-03-13	nordi	NF-PM1	B1=5000000000
2022-05-12	Jorge Coveiro	C-PRP	M26111/52223 : FBD1614D83643001 PRP: Verified (Factored) PRP without proof (small exponent)
2018-07-01	Battlemaxx	C-PRP	M26111/52223/208889/2082921390300012119800459457022167 : FBD1614D83643001 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-30	Oliver Kruse	C-PRP	M26111/52223/208889/2082921390300012119800459457022167 : FBD1614D83643001 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-30	nordi	F-ECM	Factor: 2082921390300012119800459457022167 / (ECM curve 381, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M26111/52223/208889 : CE9B9E469DC8E21B PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26111/52223/208889 : CE9B9E469DC8E21B PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26111/52223/208889 : CE9B9E469DC8E21B PRP without proof (not generated)
2016-12-15	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2008-08-26	-Anonymous-	F	Factor: 208889