4 793 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
67103	5	16.0	old
63557202647	11	35.9	old
14154273429728431	17	53.7	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	15737 / 40830

Estimated T-Level: 51.9 ⓘ

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	305BFE2AC664FC19	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	305BFE2AC664FC19	3	281	1	3
Verified	2020-04-17	Oliver Kruse	39D6C392259E7E3C	3	4304	5	3
Verified	2024-02-03	Wentao Huang	39D6C392259E7E3C	3	4624	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4793/67103/63557202647/14154273429728431 : 39D6C392259E7E3C PRP: Verified PRP without proof (small exponent)
2023-05-29	-Anonymous-	NF-PM1	B1=66000000000, B2=662102605034570700
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4793/67103/63557202647/14154273429728431 : 39D6C392259E7E3C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4793/67103/63557202647/14154273429728431 : 305BFE2AC664FC19 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4793/67103/63557202647/14154273429728431 : 305BFE2AC664FC19 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4793/67103/63557202647/14154273429728431 : 305BFE2AC664FC19 PRP without proof (not generated)