8 093 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
29811811823	11	34.8	old
45198710158710412409091583	26	85.2	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	8864 / 9201

Estimated T-Level: 44.8 ⓘ

TF below 2^144 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	A8EA2F63053C33BC	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	A8EA2F63053C33BC	2	7555	1	3
Unverified	2020-04-17	Oliver Kruse	20A370308A6F7E__	2	6183	5	3

History

Date	User	Type	Result
2023-05-26	JacobZ	NF-PM1	B1=73000000000, B2=299074993103236350
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8093/29811811823/45198710158710412409091583 : 20A370308A6F7E__ PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8093/29811811823/45198710158710412409091583 : A8EA2F63053C33BC PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8093/29811811823/45198710158710412409091583 : A8EA2F63053C33BC PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8093/29811811823/45198710158710412409091583 : A8EA2F63053C33BC PRP without proof (not generated)