8 647 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
5528411860854571021160593798328404159	37	122.1	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	8203 / 16550

Estimated T-Level: 47.5 ⓘ

TF below 2^153 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	DD1A2187A2ABD1E2	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	DD1A2187A2ABD1E2	1	4242	1	3
Verified	2020-04-17	Oliver Kruse	DEBE7CCE40122C7B	1	4908	5	3
Verified	2023-05-07	retsu	DEBE7CCE40122C7B	1	8462	5	3

History

Date	User	Type	Result
2023-08-12	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2023-05-07	retsu	C-PRP	M8647/5528411860854571021160593798328404159 : DEBE7CCE40122C7B PRP: Verified PRP without proof (small exponent)
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=26122831594860
2020-04-17	Oliver Kruse	C-PRP	M8647/5528411860854571021160593798328404159 : DEBE7CCE40122C7B PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8647/5528411860854571021160593798328404159 : DD1A2187A2ABD1E2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8647/5528411860854571021160593798328404159 : DD1A2187A2ABD1E2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8647/5528411860854571021160593798328404159 : DD1A2187A2ABD1E2 PRP without proof (not generated)