2 293 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
496155128047919	15	48.8	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	60122 / 105362

Estimated T-Level: 57.9 ⓘ

TF below 2^187 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	7F72B213134BECDF	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	7F72B213134BECDF	1	1873	1	3
Verified	2020-04-17	Oliver Kruse	6496B06E24CC8E51	1	1781	5	3
Verified	2024-02-03	Wentao Huang	6496B06E24CC8E51	1	1121	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M2293/496155128047919 : 6496B06E24CC8E51 PRP: Verified PRP without proof (small exponent)
2021-12-18	onlinegame	NF-PM1	B1=50000000000, B2=500000000000, E=12
2021-08-27	H Michaelson	NF-PP1	Start=2/7, B1=10000000, B2=1000000000
2020-04-17	Oliver Kruse	C-PRP	M2293/496155128047919 : 6496B06E24CC8E51 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M2293/496155128047919 : 7F72B213134BECDF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2293/496155128047919 : 7F72B213134BECDF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2293/496155128047919 : 7F72B213134BECDF PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12