M102477229 Mersenne number exponent details

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is 2 ^102477229 - 1

has 30848720 decimal digits

takes 408.023 GHz-days to do one PRP test

Last-known PrimeNet details:
-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	2⁷¹	4.6652	61.9718%	-	-	-	-	4.6652	61.9718%	-0.5282%
PrimeNet	2⁷²	9.3322	62.5000%	450000	22000000	9.3765	5.3804%	18.7086	67.8804%	5.3804%
GPU72	2⁷⁶	149.3404	64.4737%	650000	22000000	10.4682	3.8519%	159.8087	68.3256%	3.8519%
Difference	-5	-144.6752	-2.5019%	-650000	-22000000	-10.4682	-3.8519%	-155.1434	-6.3538%	-6.3538%

Known prime factors (1 factor, 70.4 bits, 0.00006873% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
102477229	1595731174423843963897	22	70.435	7785784168812 2² × 3² × 13 × 19 × 127 × 353 × 19531	353	19531	2014-08-13	3.6712	0.0081	0.0115

P-1 results:
Exponent "102477229" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2010-04-18T23:39:00	1997rj7	Manual testing	2⁶³	2⁶⁴		-	-	0.019	-	-
2010-08-19T01:33:00	sasaki3	asort	2⁶⁴	2⁶⁵		-	-	0.036	-	-
2012-04-23T16:19:00	carlos56	amd600	2⁶⁵	2⁶⁶		-	-	0.073	-	-
2014-05-05T07:31:00	g0b	Manual testing	2⁶⁶	2⁶⁷		-	-	0.146	-	-
2014-05-12T08:27:00	ANONYMOUS		2⁶⁷	2⁶⁸		-	-	0.292	-	-
2014-05-20T12:11:00	Satan	Manual testing	2⁶⁸	2⁶⁹		-	-	0.583	-	-
2014-05-20T12:11:00	Satan	Manual testing	2⁶⁹	2⁷⁰		-	-	1.167	-	-
2014-08-13T00:54:00	webbert	Manual testing	2⁷⁰	2⁷¹	1595731174423843963897	70.435	22	1.339	835.8	2.744

ECM factoring results:
Exponent "102477229" not found

Lucas-Lehmer results:
Exponent "102477229" not found

PRP results:
Exponent "102477229" 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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁶⁷

2⁶⁶

2⁶⁵

2⁶⁴

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2014-08-13T00:54:22+00:00