8 087 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
96671999	8	26.5	old
360437591	9	28.4	old
3463560677672775427446703	25	81.5	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8864 / 9201

Estimated T-Level: 44.8 ⓘ

TF below 2^144 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	2F2F9F3A183F887D	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2F2F9F3A183F887D	3	0	1	3
Verified	2017-12-07	ATH	2F2F9F3A183F887D	3	1468	1	3
Verified	2020-04-17	Oliver Kruse	56635469A9806917	3	7644	5	3
Verified	2024-07-01	kkmrkkblmbrbk	56635469A9806917	3	877	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8087/3463560677672775427446703/360437591/96671999 : 56635469A9806917 PRP: Verified PRP without proof (small exponent)
2023-05-27	JacobZ	NF-PM1	B1=73000000000, B2=299074993103236350
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8087/96671999/360437591/3463560677672775427446703 : 56635469A9806917 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8087/96671999/360437591/3463560677672775427446703 : 2F2F9F3A183F887D PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8087/96671999/360437591/3463560677672775427446703 : 2F2F9F3A183F887D PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8087/known_factors : 2F2F9F3A183F887D PRP without proof (not generated)