M122881769 Mersenne number exponent details

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is 2 ^122881769 - 1

has 36991099 decimal digits

takes 602.675 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	Prob over default TF
Actual	2⁶⁷	0.2418	59.7015%	-	-	-	-	0.2418	59.7015%	-3.3122%
PrimeNet	2⁷³	15.5665	63.0137%	500000	28000000	14.2108	5.2838%	29.7774	64.9680%	1.9543%
GPU72	2⁷⁷	249.0863	64.9351%	800000	28000000	16.2281	3.8488%	265.3144	66.2846%	1.3496%
Difference	-10	-248.8445	-5.2336%	-800000	-28000000	-16.2281	-3.8488%	-265.0725	-6.5831%	-6.5831%

Known prime factors (1 factor, 65.2 bits, 0.00005309% 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
122881769	43419285610788256439	20	65.235	176670982051 176670982051	2012-10-22	1	176670982051	0.0779	68,452	127,850

P-1 results:
Exponent "122881769" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2012-10-22T06:17:00	nextPrime	Prime1_277	?	?	43419285610788256439	65.235	20	0.019	1,242	0.038
2010-05-24T19:16:00	Richard	UNKNOWN	2⁶³	2⁶⁴		-	-	0.016	-	-
2010-10-25T11:57:00	OS1	L8	2⁶⁴	2⁶⁵		-	-	0.030	-	-

ECM factoring results:
Exponent "122881769" not found

Lucas-Lehmer results:
Exponent "122881769" not found

PRP results:
Exponent "122881769" not found

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

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TF factor-bounds graph:

2⁶⁷

2⁶⁵

2⁶⁴

2

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2012-10-22T06:17:28+00:00