M65 047 673 Mersenne number exponent details

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is 2 ^65047673 - 1

has 19581301 decimal digits

takes 157.786 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	0.4568	61.1940%	-	-	-	-	0.4568	61.1940%
Target	2⁷⁴	58.8163	64.8649%	450000	14000000	4.1794	3.8621%	62.9957	66.2218%
Difference	-7	-58.3595	-3.6708%	-450000	-14000000	-4.1794	-3.8621%	-62.5389	-5.0278%

Known prime factors (1 factor, 36.9 bits, 0.00005678% 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
65047673	131526394807	12	36.937	1011 3 × 337	-	3	337	1.715e-10	7.456e-5	0.0001

P-1 results:
No P-1 results for M65047673

Trial Factoring results:
No TF results for M65047673

ECM factoring results:
No ECM results for M65047673

Lucas-Lehmer results:
No L-L results for M65047673

PRP results:
No PRP results for M65047673

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

TF factor-bounds graph:

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00