M3 007 650 199 Mersenne number exponent details

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is 2 ^3007650199 - 1

has 905392927 decimal digits

takes 578,763.799 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	2⁶⁹	0.0397	53.6232%	-	-	-	-	0.0397	53.6232%
Target	2⁹¹	166,737.1683	64.8352%	15000000	4500000000	72,366.3969	4.1379%	239,103.5651	66.2902%
Difference	-22	-166,737.1286	-11.2120%	-15000000	-4500000000	-72,366.3969	-4.1379%	-239,103.5255	-12.6671%

Known prime factors (1 factor, 66.4 bits, 0.00000221% 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
3007650199	95317676424786109639	20	66.369	15845871381 3 × 67 × 439 × 179579	2017-12-06	439	179579	0.0059	2.8458	5.0988

P-1 results:
No P-1 results for M3007650199

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-12-19	slaur	sekunda-rtx2060	2⁶⁴	2⁶⁸	95317676424786109639	66.369	20	0.019	1,175,690	0.038
2020-11-18	ramgeis	r4mg31s	2¹	2⁶⁹	95317676424786109639	66.369	20	0.006	1,175,690	0.038

ECM factoring results:
No ECM results for M3007650199

Lucas-Lehmer results:
No L-L results for M3007650199

PRP results:
No PRP results for M3007650199

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

10⁶

TF factor-bounds graph:

2⁶⁹

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