26 759 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
44366423	8	25.4	old
480269675713	12	38.8	2008-08-26 19:59:15
9083937739193043078551915852134877795729	40	132.7	2016-12-14 07:09:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	827 / 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	2017-09-21	Oliver Kruse	89AAEFC941C0BAFC	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	89AAEFC941C0BAFC	3	0	1	3
Verified	2017-12-07	ATH	89AAEFC941C0BAFC	3	17376	1	3
Unverified	2020-04-17	Oliver Kruse	3FFEA0F262963C__	3	9341	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-14	9083937739193043078551915852134877795729	500000000	0

History

Date	User	Type	Result
2021-08-10	ViliamF	NF-PM1	B1=5000000000, B2=1355000000000
2020-04-17	Oliver Kruse	C-PRP	M26759/44366423/480269675713/9083937739193043078551915852134877795729 : 3FFEA0F262963C__ PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M26759/44366423/480269675713/9083937739193043078551915852134877795729 : 89AAEFC941C0BAFC PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M26759/44366423/480269675713/9083937739193043078551915852134877795729 : 89AAEFC941C0BAFC PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M26759/known_factors : 89AAEFC941C0BAFC PRP without proof (not generated)
2016-12-14	kkmrkkblmbrbk	F-PM1	Factor: 9083937739193043078551915852134877795729 / (P-1, B1=500000000)
2008-08-26	-Anonymous-	F	Factor: 480269675713