4 079 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
102823433	9	26.6	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	16550 / 16550
55	110000000	40830 / 40830
60	260000000	32817 / 105362

Estimated T-Level: 56.6 ⓘ

TF below 2^183 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	61937516FDD1E7F9	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	61937516FDD1E7F9	1	1106	1	3
Verified	2020-04-17	Oliver Kruse	2347A1F60A8E7CC7	1	1950	5	3
Verified	2024-02-03	Wentao Huang	2347A1F60A8E7CC7	1	2236	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4079/102823433 : 2347A1F60A8E7CC7 PRP: Verified PRP without proof (small exponent)
2023-05-17	-Anonymous-	NF-PM1	B1=79000000000, B2=797496463397964330
2020-09-28	Bruno Victal	NF-PM1	B1=500000000, B2=61247615445648
2020-09-28	Bruno Victal	NF-PM1	B1=100000000, B2=4537592002678
2020-04-17	Oliver Kruse	C-PRP	M4079/102823433 : 2347A1F60A8E7CC7 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4079/102823433 : 61937516FDD1E7F9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4079/102823433 : 61937516FDD1E7F9 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4079/102823433 : 61937516FDD1E7F9 PRP without proof (not generated)