M1 646 046 299 Mersenne number exponent details

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is 2 ^1646046299 - 1

has 495509311 decimal digits

takes 162,604.226 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	2⁶⁴	0.0022	51.5625%	-	-	-	-	0.0022	51.5625%
Target	2⁸⁸	38,082.6983	64.7727%	9000000	2250000000	18,777.8891	4.2023%	56,860.5873	66.2531%
Difference	-24	-38,082.6961	-13.2102%	-9000000	-2250000000	-18,777.8891	-4.2023%	-56,860.5852	-14.6906%

Known prime factors (2 factors, 96.6 bits, 0.00000587% 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
1646046299	13168370393	11	33.616	4 2²	2012-08-20	4	4	7.018e-13	0.0006	0.0012
1646046299	9182175522256887863	19	62.994	2789160769 467 × 5972507	2020-03-11	467	5972507	0.0010	46.673	87.053

1 Composite Factors:

P-1 results:
No P-1 results for M1646046299

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-03-11	slaur	sekunda-rtx2060	2¹	2⁶⁴	9182175522256887863	62.994	19	0.002	91,688	0.004

ECM factoring results:
No ECM results for M1646046299

Lucas-Lehmer results:
No L-L results for M1646046299

PRP results:
No PRP results for M1646046299

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

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10³

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TF factor-bounds graph:

2⁶⁴

this exponent TF target: 88

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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