M117 744 749 Mersenne number exponent details

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is 2 ^117744749 - 1

has 35444702 decimal digits

takes 543.752 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	0.2524	59.7015%	-	-	-	-	0.2524	59.7015%
Target	2⁷⁶	129.9760	64.4737%	800000	140000000	56.1408	4.2083%	186.1168	65.9688%
Difference	-9	-129.7237	-4.7722%	-800000	-140000000	-56.1408	-4.2083%	-185.8644	-6.2673%

Known prime factors (1 factor, 34.4 bits, 0.00002921% 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
117744749	22606991809	11	34.396	96 2⁵ × 3	2007-09-27	32	32	1.984e-11	0.0002	0.0004

P-1 results:
No P-1 results for M117744749

Trial Factoring results:
No TF results for M117744749

ECM factoring results:
No ECM results for M117744749

Lucas-Lehmer results:
No L-L results for M117744749

PRP results:
No PRP results for M117744749

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

TF factor-bounds graph:

this exponent TF target: 76

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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