M46 000 103 Mersenne number exponent details

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is 2 ^46000103 - 1

has 13847411 decimal digits

takes 73.829 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	0.6460	61.1940%	-	-	-	-	0.6460	61.1940%
Target	2⁷²	20.7898	63.8889%	320000	80000000	10.8476	4.0327%	31.6374	65.3451%
Difference	-5	-20.1439	-2.6949%	-320000	-80000000	-10.8476	-4.0327%	-30.9915	-4.1511%

Known prime factors (1 factor, 64.9 bits, 0.00014106% 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
46000103	34118220644447167297	20	64.887	370849394016 2⁵ × 3² × 43 × 29945849	2007-12-31	43	29945849	0.1265	3.7970	7.0916

P-1 results:
No P-1 results for M46000103

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2007-12-31	precius1	v4_computers	?	?	34118220644447167297	64.887	20	0.049	170.3	0.113
2007-11-17	George Woltman	x32-debug	2⁶³	2⁶⁴		-	-	0.043	-	-
2007-11-17	George Woltman	x32-debug	2⁶⁴	2⁶⁵	MISSED FACTOR!	-	-	0.081	-	-
2007-11-18	George Woltman	x32-debug	2⁶⁵	2⁶⁶		-	-	0.162	-	-

ECM factoring results:
No ECM results for M46000103

Lucas-Lehmer results:
No L-L results for M46000103

PRP results:
No PRP results for M46000103

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

TF factor-bounds graph:

2⁶⁶

2⁶⁵

2⁶⁴

2

this exponent TF target: 72

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-06-05T21:50:05+00:00