4 493 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
6393188928634500752988047	25	82.4	old
490020993293736945297367167451599857	36	118.6	2014-02-12 15:42:51

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	17648 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^168 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	8265DB4BB7A35D9F	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	8265DB4BB7A35D9F	2	0	1	3
Verified	2017-12-07	ATH	8265DB4BB7A35D9F	2	3343	1	3
Verified	2020-04-17	Oliver Kruse	E1B796068D4000D7	2	1931	5	3
Verified	2024-02-03	Wentao Huang	E1B796068D4000D7	2	1046	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4493/6393188928634500752988047/490020993293736945297367167451599857 : E1B796068D4000D7 PRP: Verified PRP without proof (small exponent)
2023-05-24	-Anonymous-	NF-PM1	B1=71000000000, B2=711884755657775700
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4493/6393188928634500752988047/490020993293736945297367167451599857 : E1B796068D4000D7 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4493/6393188928634500752988047/490020993293736945297367167451599857 : 8265DB4BB7A35D9F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4493/6393188928634500752988047/490020993293736945297367167451599857 : 8265DB4BB7A35D9F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4493/known_factors : 8265DB4BB7A35D9F PRP without proof (not generated)
2014-02-12	Never Odd Or Even	F-ECM	Factor: 490020993293736945297367167451599857