M104656133 Mersenne number exponent details

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M104656133

<<<

is 2 ^104656133 - 1

has 31504636 decimal digits

takes 416.699 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- 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	Prob over default TF
Actual	2⁶⁷	0.2839	59.7015%	-	-	-	-	0.2839	59.7015%	0.0000%
PrimeNet	2⁷²	9.1379	62.5000%	450000	22000000	9.3765	5.3938%	18.5143	64.5227%	2.0227%
GPU72	2⁷⁶	146.2312	64.4737%	650000	24000000	11.0973	3.9254%	157.3285	65.8682%	1.3946%
Difference	-9	-145.9473	-4.7722%	-650000	-24000000	-11.0973	-3.9254%	-157.0446	-6.1668%	-6.1668%

Known prime factors (2 factors, 97.7 bits, 0.00009334% 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
104656133	30978215369	11	34.851	148 2² × 37	2007-09-19	4	37	2.257e-11	3.347e-5	4.700e-5
104656133	8201403887385593111	19	62.831	39182624335 5 × 17⁴ × 93827	2016-10-21	83521	93827	0.0107	0.4854	0.9813

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
104656133	30978215369 8201403887385593111	254064855951584725740360722959	30	97.681

P-1 results:
No P-1 results for M104656133

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-10-21T15:27:06	TJAOI	Manual testing	2⁶²	2⁶³*	8201403887385593111	62.831	19	0.005	857.6	0.010

ECM factoring results:
No ECM results for M104656133

Lucas-Lehmer results:
No L-L results for M104656133

PRP results:
No PRP results for M104656133

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

10⁴

10⁵

10⁰

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁶⁷

2⁶³

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2016-10-21T15:27:06+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront