M115 783 147 Mersenne number exponent details

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is 2 ^115783147 - 1

has 34854201 decimal digits

takes 534.693 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	0.2566	59.7015%	-	-	-	-	0.2566	59.7015%
Target	2⁷⁶	132.1781	64.4737%	700000	26000000	13.9174	4.0729%	146.0955	65.9206%
Difference	-9	-131.9214	-4.7722%	-700000	-26000000	-13.9174	-4.0729%	-145.8389	-6.2191%

Known prime factors (2 factors, 82.3 bits, 0.00007104% 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
115783147	10420483231	11	33.279	45 3² × 5	2007-09-25	9	9	9.980e-12	6.027e-5	0.0001
115783147	554857849583753	15	48.979	2396108 2² × 11 × 13 × 59 × 71	2007-09-25	59	71	5.305e-7	0.0004	0.0008

1 Composite Factors:

P-1 results:
No P-1 results for M115783147

Trial Factoring results:
No TF results for M115783147

ECM factoring results:
No ECM results for M115783147

Lucas-Lehmer results:
No L-L results for M115783147

PRP results:
No PRP results for M115783147

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: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00