M70003481 Mersenne number exponent details

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is 2 ^70003481 - 1

has 21073148 decimal digits

takes 187.162 GHz-days to do one PRP test

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	2⁶⁸	0.8515	60.2941%	-	-	-	-	0.8515	60.2941%	-1.1345%
PrimeNet	2⁷⁰	3.4134	61.4286%	300000	13000000	3.8455	5.3952%	7.2589	63.5096%	2.0810%
GPU72	2⁷⁴	54.6525	63.5135%	450000	16000000	5.0289	3.9989%	59.6814	64.9726%	1.4590%
Difference	-6	-53.8011	-3.2194%	-450000	-16000000	-5.0289	-3.9989%	-58.8300	-4.6784%	-4.6784%

Known prime factors (1 factor, 77.6 bits, 0.00011079% 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
70003481	222473048199885240645001	24	77.558	1589014182022500 2² × 3 × 5⁴ × 277 × 2731 × 280069	2012-09-19	2731	280069	539.45	0.0692	0.1105

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2012-09-19T22:28:00	PageFault	boxen_01					222473048199885240645001	24	77.558	-	374.3	-	0.000%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
1999-12-23T00:00:00	ANONYMOUS	v4_computers	?	2⁵³		-	-	1.71409e-5	-	-
2003-11-17T00:00:00	ANONYMOUS	v4_computers	?	2⁶¹		-	-	0.002	-	-
2007-07-04T00:00:00	ANONYMOUS	v4_computers	?	2⁶³		-	-	0.014	-	-
2007-11-17T00:00:00	ANONYMOUS	v4_computers	?	2⁶⁴		-	-	0.028	-	-
2021-05-28T08:55:23	Nescro	Manual testing	2⁶⁷	2⁶⁸		-	-	0.427	-	-
2009-04-27T04:44:00	ANONYMOUS	v4_computers	?	2⁷⁰		-	-	1.708	-	-
2009-05-17T00:00:00	ANONYMOUS	v4_computers	?	2⁷⁰		-	-	1.708	-	-

ECM factoring results:
Exponent "70003481" not found

Lucas-Lehmer results:
Exponent "70003481" not found

PRP results:
Exponent "70003481" not found

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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷⁰

2⁶⁸

2⁶⁴

2⁶³

2⁶¹

2⁵³

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2021-05-28T08:55:23+00:00