8 543 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
3162337501129	13	41.5	old
3566480321357275297	19	61.6	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	4282A5F6C2360745	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	4282A5F6C2360745	2	3451	1	3
Unverified	2020-04-17	Oliver Kruse	93B5B78DA4FD73__	2	1417	5	3

History

Date	User	Type	Result
2023-08-18	JacobZ	NF-PM1	B1=69000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8543/3162337501129/3566480321357275297 : 93B5B78DA4FD73__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8543/3162337501129/3566480321357275297 : 4282A5F6C2360745 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8543/3162337501129/3566480321357275297 : 4282A5F6C2360745 PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8543/3162337501129/3566480321357275297 : 4282A5F6C2360745 PRP without proof (not generated)