M58 020 797 Mersenne number exponent details

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is 2 ^58020797 - 1

has 17466001 decimal digits

takes 122.972 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	0.5121	61.1940%	-	-	-	-	0.5121	61.1940%
Target	2⁷³	32.9683	64.3836%	400000	13000000	3.3390	4.0775%	36.3072	65.8358%
Difference	-6	-32.4561	-3.1895%	-400000	-13000000	-3.3390	-4.0775%	-35.7951	-4.6418%

Known prime factors (2 factors, 72.9 bits, 0.00012561% 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
58020797	464166377	9	28.790	4 2²	-	4	4	6.169e-13	1.229e-5	2.502e-5
58020797	18731318061887	14	44.091	161419 151 × 1069	2008-09-30	151	1069	7.833e-8	0.0006	0.0009

1 Composite Factors:

P-1 results:
No P-1 results for M58020797

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-30	markr	Manual testing	?	?	18731318061887	44.091	14	3.79356e-8	282.3	8.70717e-8

ECM factoring results:
No ECM results for M58020797

Lucas-Lehmer results:
No L-L results for M58020797

PRP results:
No PRP results for M58020797

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

10³

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2

this exponent TF target: 73

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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