M1 632 887 611 Mersenne number exponent details

≡

is 2 ^1632887611 - 1

has 491548151 decimal digits

takes 146,581.902 GHz-days to do one PRP test

0 primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	0.0365	54.4118%	-	-	-	-	0.0365	54.4118%
Target	2⁸⁸	38,389.5891	64.7727%	9000000	2250000000	17,064.0079	4.1989%	55,453.5971	66.2519%
Difference	-20	-38,389.5526	-10.3610%	-9000000	-2250000000	-17,064.0079	-4.1989%	-55,453.5606	-11.8401%

Known prime factors (1 factor, 48.4 bits, 0.00000296% known):

Remaining cofactor is PRP status unknown

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
1632887611	367768745075087	15	48.386	112613 19 × 5927	2013-01-16	19	5927	2.586e-8	0.0444	0.0785

P-1 results:
No P-1 results for M1632887611

Trial Factoring results:
No TF results for M1632887611

ECM factoring results:
No ECM results for M1632887611

Lucas-Lehmer results:
No L-L results for M1632887611

PRP results:
No PRP results for M1632887611

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10⁰

10¹

10²

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 88

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

JSON version of this page

Last modified: 2023-10-02T12:12:48+00:00