8 513 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
272417	6	18.1	old
65133005245370903	17	55.9	old
405464301326598051284039	24	78.4	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	2ADEA5F4E4D46C32	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2ADEA5F4E4D46C32	3	0	1	3
Verified	2017-12-07	ATH	2ADEA5F4E4D46C32	3	7976	1	3
Verified	2020-04-17	Oliver Kruse	8A430DD9D3C40575	3	2021	5	3
Verified	2024-07-01	kkmrkkblmbrbk	8A430DD9D3C40575	3	6911	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8513/272417/405464301326598051284039/65133005245370903 : 8A430DD9D3C40575 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	M8513/272417/65133005245370903/405464301326598051284039 : 8A430DD9D3C40575 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8513/272417/65133005245370903/405464301326598051284039 : 2ADEA5F4E4D46C32 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8513/272417/65133005245370903/405464301326598051284039 : 2ADEA5F4E4D46C32 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8513/known_factors : 2ADEA5F4E4D46C32 PRP without proof (not generated)