8 101 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
712889	6	19.4	old
11072206468574816189936903	26	83.2	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	849C3AFA238F04E6	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	849C3AFA238F04E6	2	4706	1	3
Verified	2020-04-17	Oliver Kruse	56F6DCA88EA54FB4	2	721	5	3
Verified	2024-07-01	kkmrkkblmbrbk	56F6DCA88EA54FB4	2	1606	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8101/11072206468574816189936903/712889 : 56F6DCA88EA54FB4 PRP: Verified PRP without proof (small exponent)
2023-09-02	JacobZ	NF-PM1	B1=73000000000, B2=269450985774120150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8101/712889/11072206468574816189936903 : 56F6DCA88EA54FB4 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8101/712889/11072206468574816189936903 : 849C3AFA238F04E6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8101/712889/11072206468574816189936903 : 849C3AFA238F04E6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8101/712889/11072206468574816189936903 : 849C3AFA238F04E6 PRP without proof (not generated)