9 817 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
20556799	8	24.3	old
26619050743	11	34.6	old

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	6718 / 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	2017-09-21	Oliver Kruse	AB24FB882859242F	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	AB24FB882859242F	2	1597	1	3
Verified	2020-04-17	Oliver Kruse	113578EEE0A4E241	2	1121	5	3
Verified	2024-07-01	kkmrkkblmbrbk	113578EEE0A4E241	2	2084	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9817/20556799/26619050743 : 113578EEE0A4E241 PRP: Verified PRP without proof (small exponent)
2023-06-15	JacobZ	NF-PM1	B1=59000000000, B2=250256095608669150
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=26132804888190
2020-04-17	Oliver Kruse	C-PRP	M9817/20556799/26619050743 : 113578EEE0A4E241 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9817/20556799/26619050743 : AB24FB882859242F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9817/20556799/26619050743 : AB24FB882859242F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9817/20556799/26619050743 : AB24FB882859242F PRP without proof (not generated)