9 007 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
90071	5	16.5	old
788219573835411078398753220049776474097	39	129.2	2024-06-07 05:47:10

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	6767 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	07AE5C3296E141EC	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	07AE5C3296E141EC	1	1951	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	6CB70B656DD0B82F	1	5491	5	3
Verified	2024-06-07	nordi	6CB70B656DD0B82F	2	5375	5	3

History

Date	User	Type	Result
2024-06-07	nordi	C-PRP	M9007/90071/788219573835411078398753220049776474097 : 6CB70B656DD0B82F PRP: Verified PRP without proof (small exponent)
2024-06-07	nordi	F-ECM	Factor: 788219573835411078398753220049776474097 / (ECM curve 284, B1=11000000, B2=148986983145, Edwards Sigma=3428628639757747)
2023-07-24	JacobZ	NF-PM1	B1=65000000000, B2=265362501936181650
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9007/90071 : 6CB70B656DD0B82F PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9007/90071 : 07AE5C3296E141EC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9007/90071 : 07AE5C3296E141EC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9007/90071 : 07AE5C3296E141EC PRP without proof (not generated)