5 051 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
10103	5	13.3	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	14565 / 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	5A35579278BF886E	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	5A35579278BF886E	1	172	1	3
Verified	2020-04-17	Oliver Kruse	CC05B6916BA730FD	1	731	5	3
Verified	2022-05-12	Jorge Coveiro	CC05B6916BA730FD	1	695	5	3

History

Date	User	Type	Result
2023-07-01	mikr	NF-PM1	B1=300000000000, B2=1352146973438911650
2023-06-10	-Anonymous-	NF-PM1	B1=62000000000, B2=622276884390511350
2022-05-12	Jorge Coveiro	C-PRP	M5051/10103 : CC05B6916BA730FD PRP: Verified PRP without proof (small exponent)
2020-04-17	Oliver Kruse	C-PRP	M5051/10103 : CC05B6916BA730FD PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5051/10103 : 5A35579278BF886E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5051/10103 : 5A35579278BF886E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5051/10103 : 5A35579278BF886E PRP without proof (not generated)