M10667659 Mersenne number exponent details

≡

is 2 ^10667659 - 1

has 3211286 decimal digits

takes 3.485 GHz-days to do one PRP test

Last-known PrimeNet details:
-unknown- L-L tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	7871BB5CB84485__	needs double-check

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶³	0.1496	61.9048%	-	-	-	-	0.1496	61.9048%	-0.5952%
PrimeNet	2⁶⁴	0.3337	62.5000%	45000	1300000	0.0537	3.7813%	0.3874	66.2813%	3.7813%
GPU72	2⁶⁸	5.5874	64.7059%	70000	1700000	0.0752	2.7115%	5.6627	67.4174%	2.7115%
Difference	-5	-5.4378	-2.8011%	-70000	-1700000	-0.0752	-2.7115%	-5.5130	-5.5126%	-5.5126%

Known prime factors (2 factors, 82.8 bits, 0.00077590% known):

Remaining cofactor is PRP status unknown

								GHz-days
exponent	factor	digits	bits*	k	min B1	min B2	date found	min. TF	min. P-1	normal P-1
10667659	9920922871	10	33.208	465 3 × 5 × 31	5	31	-	1.181e-10	3.039e-6	4.820e-6
10667659	831368728077313	15	49.562	38966784 2⁹ × 3 × 23 × 1103	512	1103	2014-05-06	9.623e-6	0.0003	0.0005

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
10667659	9920922871 831368728077313	8247945028616394397925623	25	82.770

P-1 results:
Exponent "10667659" not found

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2014-05-06T12:40:00	TJAOI	Manual testing	?	?	831368728077313	49.562	15	2.59294e-6	7.420	5.52122e-6

ECM factoring results:
Exponent "10667659" not found

Lucas-Lehmer results:
Exponent "10667659" not found

PRP results:

date

userid

compid

cofactors

res64

PRP

2020-12-02T22:11:52

mrh

w

9920922871

831368728077313

7871BB5CB84485__

no

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:

2⁶³

2

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2020-12-02T22:11:52+00:00