M1 646 046 263 Mersenne number exponent details

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is 2 ^1646046263 - 1

has 495509300 decimal digits

takes 162,604.223 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	0.0362	54.4118%	-	-	-	-	0.0362	54.4118%
Target	2⁸⁸	38,082.6991	64.7727%	9000000	2250000000	18,777.8891	4.2023%	56,860.5881	66.2531%
Difference	-20	-38,082.6629	-10.3610%	-9000000	-2250000000	-18,777.8891	-4.2023%	-56,860.5519	-11.8413%

Known prime factors (1 factor, 52.9 bits, 0.00000321% 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
1646046263	8267106043383727	16	52.876	2511201 3 × 7² × 11 × 1553	2014-02-15	49	1553	3.827e-7	0.0188	0.0227

P-1 results:
No P-1 results for M1646046263

Trial Factoring results:
No TF results for M1646046263

ECM factoring results:
No ECM results for M1646046263

Lucas-Lehmer results:
No L-L results for M1646046263

PRP results:
No PRP results for M1646046263

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

TF factor-bounds graph:

2⁶⁸

this exponent TF target: 88

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

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