M3 132 076 349 Mersenne number exponent details

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is 2 ^3132076349 - 1

has 942848930 decimal digits

takes 602,707.192 GHz-days to do one PRP test

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	2⁶⁸	0.0190	52.9412%	-	-	-	-	0.0190	52.9412%
Target	2⁹¹	160,113.2991	64.8352%	16000000	4500000000	72,630.2192	4.1811%	232,743.5183	66.3054%
Difference	-23	-160,113.2801	-11.8940%	-16000000	-4500000000	-72,630.2192	-4.1811%	-232,743.4993	-13.3643%

Known prime factors (1 factor, 46.8 bits, 0.00000149% 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
3132076349	118492712435369	15	46.752	18916 2² × 4729	2012-08-20	4	4729	3.107e-9	0.0729	0.1342

P-1 results:
No P-1 results for M3132076349

Trial Factoring results:
No TF results for M3132076349

ECM factoring results:
No ECM results for M3132076349

Lucas-Lehmer results:
No L-L results for M3132076349

PRP results:
No PRP results for M3132076349

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

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 91

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-02T12:12:48+00:00