8 501 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
680081	6	19.4	old
221842097	9	27.7	old
1254822064406541848612167	25	80.1	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	9517 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 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	E26AD6AF97F5570C	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	E26AD6AF97F5570C	3	0	1	3
Verified	2017-12-07	ATH	E26AD6AF97F5570C	3	5876	1	3
Verified	2020-04-17	Oliver Kruse	C99A5E73FCE6B819	3	7248	5	3
Verified	2024-07-01	kkmrkkblmbrbk	C99A5E73FCE6B819	3	742	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8501/1254822064406541848612167/221842097/680081 : C99A5E73FCE6B819 PRP: Verified PRP without proof (small exponent)
2023-08-20	JacobZ	NF-PM1	B1=69000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8501/680081/221842097/1254822064406541848612167 : C99A5E73FCE6B819 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8501/680081/221842097/1254822064406541848612167 : E26AD6AF97F5570C PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8501/680081/221842097/1254822064406541848612167 : E26AD6AF97F5570C PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8501/known_factors : E26AD6AF97F5570C PRP without proof (not generated)