M117 780 451 Mersenne number exponent details

≡

is 2 ^117780451 - 1

has 35455449 decimal digits

takes 543.917 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁶⁷	0.2523	59.7015%	-	-	-	-	0.2523	59.7015%
Target	2⁷⁶	129.9366	64.4737%	800000	140000000	56.1408	4.2085%	186.0774	65.9688%
Difference	-9	-129.6843	-4.7722%	-800000	-140000000	-56.1408	-4.2085%	-185.8251	-6.2673%

Known prime factors (1 factor, 38.2 bits, 0.00003241% 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
117780451	309291464327	12	38.170	1313 13 × 101	2007-09-27	13	101	3.993e-10	0.0001	0.0002

P-1 results:
No P-1 results for M117780451

Trial Factoring results:
No TF results for M117780451

ECM factoring results:
No ECM results for M117780451

Lucas-Lehmer results:
No L-L results for M117780451

PRP results:
No PRP results for M117780451

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

TF factor-bounds graph:

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

JSON version of this page

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