M29 Mersenne number exponent details

≡

is 2 ²⁹ - 1

has 9 decimal digits

takes 0.000 GHz-days to do one PRP test

Has been fully factored.

Last-known PrimeNet details:
-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%	-87.5000%
PrimeNet	2⁴⁰	0.0051	87.5000%	500	10000	0.0000	0.5109%	0.0051	88.0109%	0.5109%
GPU72	2⁴⁴	0.0808	88.6364%	500	10000	0.0000	0.1752%	0.0808	88.8115%	0.1752%
Difference	-44	-0.0808	-88.6364%	-500	-10000	0.0000	-0.1752%	-0.0808	-88.8115%	-88.8115%

Known prime factors (2 factors, 18.0 bits, 61.97035593% known):

Remaining cofactor is a certified-prime

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
29	233	3	7.864	4 2²	4	4	-	5.793e-13	5.897e-11	1.200e-10
29	1103	4	10.107	19 19	1	19	-	4.714e-12	2.920e-11	3.000e-11

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
29	233 1103	256999	6	17.971

P-1 results:
Exponent "29" not found

Trial Factoring results:
Exponent "29" not found

ECM factoring results:
Exponent "29" not found

Lucas-Lehmer results:
Exponent "29" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-24T18:43:45

Luke_Richards

work-laptop

00002B0C4A98C3__

no

2018-01-24T21:42:20

-p95holder- @bopoh13

Lucius_Yorkfield

233

1103

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

TF factor-bounds graph:

2⁰

2¹⁰

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2018-01-24T21:42:20+00:00