4 993 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
79889	5	16.3	old
180417498912494959	18	57.3	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	15900 / 40830

Estimated T-Level: 51.9 ⓘ

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	8A9C54616BA8A322	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	8A9C54616BA8A322	2	4130	1	3
Verified	2020-04-17	Oliver Kruse	191123D3C76B4A6E	2	4673	5	3
Verified	2024-02-03	Wentao Huang	191123D3C76B4A6E	2	3165	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4993/79889/180417498912494959 : 191123D3C76B4A6E PRP: Verified PRP without proof (small exponent)
2023-06-01	-Anonymous-	NF-PM1	B1=63000000000, B2=632233314515152350
2021-12-15	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002849399191640
2021-12-15	Lisander Viaene	NF-PM1	B1=101101101, B2=242002648447560
2020-04-17	Oliver Kruse	C-PRP	M4993/79889/180417498912494959 : 191123D3C76B4A6E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4993/79889/180417498912494959 : 8A9C54616BA8A322 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4993/79889/180417498912494959 : 8A9C54616BA8A322 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4993/79889/180417498912494959 : 8A9C54616BA8A322 PRP without proof (not generated)