M115 783 211 Mersenne number exponent details

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is 2 ^115783211 - 1

has 34854220 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	132.1780	64.4737%	700000	26000000	13.9174	4.0729%	146.0954	65.9206%
Difference	-9	-131.9214	-4.7722%	-700000	-26000000	-13.9174	-4.0729%	-145.8388	-6.2191%

Known prime factors (2 factors, 107.4 bits, 0.00009273% 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
115783211	2691581739349297	16	51.257	11623368 2³ × 3 × 131 × 3697	2007-09-25	131	3697	4.872e-6	0.0022	0.0025
115783211	77953846212225559	17	56.113	336637089 3² × 37404121	2015-03-10	9	37404121	9.707e-5	13.646	25.487

1 Composite Factors:

P-1 results:
No P-1 results for M115783211

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2015-03-10	TJAOI	Manual testing	2⁵⁶	2⁵⁷*	77953846212225559	56.113	17	1.41590e-5	1,215	3.21867e-5

ECM factoring results:
No ECM results for M115783211

Lucas-Lehmer results:
No L-L results for M115783211

PRP results:
No PRP results for M115783211

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

10³

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁵⁷

this exponent TF target: 76

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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