M73 Mersenne number exponent details

≡

is 2 ⁷³ - 1

has 22 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- L-L 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	Prob over default TF
Actual	unknown			-	-	-	-	0.0000	0.0000%	-82.5000%
PrimeNet	2⁴⁰	0.0020	82.5000%	500	10000	0.0000	0.6961%	0.0020	82.6218%	0.1218%
GPU72	2⁴⁴	0.0321	84.0909%	500	10000	0.0000	0.2450%	0.0321	84.1299%	0.0390%
Difference	-44	-0.0321	-84.0909%	-500	-10000	0.0000	-0.2450%	-0.0321	-84.1299%	-84.1299%

Known prime factors (3 factors, 73.0 bits, 100.00000000% known):

Remaining cofactor is a certified-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
73	439	3	8.778	3 3	-	1	3	4.638e-13	1.635e-11	3.000e-11
73	2298041	7	21.132	15740 2² × 5 × 787	-	5	787	5.384e-9	7.018e-10	1.176e-9
73	hide decimal representation P13 9361973132609	13	43.090

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
73	439 2298041	1008839999	10	29.910

P-1 results:
Exponent "73" not found

Trial Factoring results:
Exponent "73" not found

ECM factoring results:
Exponent "73" not found

Lucas-Lehmer results:
Exponent "73" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24T18:43:59

Luke_Richards

work-laptop

F07BC1C7B6DBC9__

no

2018-01-24T21:42:25

-p95holder- @bopoh13

Lucius_Yorkfield

439

2298041

PRP

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:

2⁰

2¹⁰

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-01-24T21:42:25+00:00