M112 865 983 Mersenne number exponent details

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is 2 ^112865983 - 1

has 33976047 decimal digits

takes 495.356 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	0.2633	59.7015%	-	-	-	-	0.2633	59.7015%
Target	2⁷⁶	135.5944	64.4737%	700000	26000000	13.2268	4.0604%	148.8212	65.9162%
Difference	-9	-135.3311	-4.7722%	-700000	-26000000	-13.2268	-4.0604%	-148.5579	-6.2147%

Known prime factors (2 factors, 94.9 bits, 0.00008405% 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
112865983	4514639321	10	32.072	20 2² × 5	2007-09-23	4	5	5.091e-12	2.580e-5	5.181e-5
112865983	7977661918477557239	19	62.791	35341303493 21647 × 1632619	2016-10-14	21647	1632619	0.0123	0.6963	1.0573

1 Composite Factors:

P-1 results:
No P-1 results for M112865983

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-10-14	TJAOI	Manual testing	2⁶²	2⁶³*	7977661918477557239	62.791	19	0.007	1,140	0.016

ECM factoring results:
No ECM results for M112865983

Lucas-Lehmer results:
No L-L results for M112865983

PRP results:
No PRP results for M112865983

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

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10³

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

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10⁷

TF factor-bounds graph:

2⁶³

this exponent TF target: 76

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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