4 451 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
196315807	9	27.5	old
816397708950452904657626458909282228481	39	129.3	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	14566 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	2039B342E58A3C71	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	2039B342E58A3C71	2	0	1	3
Verified	2017-12-07	ATH	2039B342E58A3C71	2	84	1	3
Verified	2020-04-17	Oliver Kruse	9CF9B6B44CCAA688	2	1306	5	3
Verified	2024-02-03	Wentao Huang	9CF9B6B44CCAA688	2	1226	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4451/196315807/816397708950452904657626458909282228481 : 9CF9B6B44CCAA688 PRP: Verified PRP without proof (small exponent)
2023-05-23	-Anonymous-	NF-PM1	B1=72000000000, B2=721841185927912050
2020-04-17	Oliver Kruse	C-PRP	M4451/196315807/816397708950452904657626458909282228481 : 9CF9B6B44CCAA688 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4451/196315807/816397708950452904657626458909282228481 : 2039B342E58A3C71 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4451/196315807/816397708950452904657626458909282228481 : 2039B342E58A3C71 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4451/known_factors : 2039B342E58A3C71 PRP without proof (not generated)