8 563 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 6 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
32402393	8	24.9	old
240780682609487	15	47.8	old
206858361127703737	18	57.5	old
235035115803166906361	21	67.7	old
9139671749156544671917417	25	82.9	old
316515574095503525384055959	27	88.0	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	5575 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	A72AD74C52EC523F	6	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A72AD74C52EC523F	6	0	1	3
Verified	2017-12-07	ATH	A72AD74C52EC523F	6	2330	1	3
Verified	2020-04-17	Oliver Kruse	B59DCEB21333CD0E	6	5016	5	3
Verified	2024-07-01	kkmrkkblmbrbk	B59DCEB21333CD0E	6	4568	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8563/206858361127703737/235035115803166906361/240780682609487/316515574095503525384055959/32402393/9139671749156544671917417 : B59DCEB21333CD0E PRP: Verified PRP without proof (small exponent)
2023-08-18	JacobZ	NF-PM1	B1=68000000000, B2=265422648792401100
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8563/32402393/240780682609487/206858361127703737/235035115803166906361/9139671749156544671917417/316515574095503525384055959 : B59DCEB21333CD0E PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M8563/32402393/240780682609487/206858361127703737/235035115803166906361/9139671749156544671917417/316515574095503525384055959 : A72AD74C52EC523F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M8563/32402393/240780682609487/206858361127703737/235035115803166906361/9139671749156544671917417/316515574095503525384055959 : A72AD74C52EC523F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8563/known_factors : A72AD74C52EC523F PRP without proof (not generated)