M34004231 Mersenne number exponent details

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is 2 ^34004231 - 1

has 10236294 decimal digits

takes 40.238 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	205133ECF4E2F049	double-checked
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁷³	56.2531	64.3836%	355000	4260000	0.9742	2.9549%	57.2273	65.4360%
Target	2⁷¹	14.0594	63.3803%	240000	7000000	1.0437	3.8403%	15.1031	64.7866%
Difference	+2	+42.1938	+1.0033%	+115000	-2740000	-0.0696	-0.8855%	+42.1242	+0.6494%

Known prime factors:
No known factors for M34004231

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-12-13	ComputerraRU	v4_computers	355000	4260000		-		-	-	0.974	-	-	2.955%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-12-13	ComputerraRU	v4_computers	2¹	2⁶⁸		-	-	1.753	-	-
2013-01-27	marssystems	Manual testing	2⁶⁸	2⁶⁹		-	-	1.758	-	-
2013-01-27	marssystems	Manual testing	2⁶⁹	2⁷⁰		-	-	3.516	-	-
2013-01-27	marssystems	Manual testing	2⁷⁰	2⁷¹		-	-	7.032	-	-
2018-11-20	mikr	Manual testing	2⁷¹	2⁷²		-	-	14.06	-	-
2019-11-09	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	28.13	-	-

ECM factoring results:
No ECM results for M34004231

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2005-01-20	ComputerraRU	v4_computers	205133ECF4E2F049	40.24
2014-11-30	Klaus Nordmann	no1	205133ECF4E2F049	40.24

PRP results:
No PRP results for M34004231

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

B1 = 355000, B2 = 4260000 (P-1 stage 2)

B1 = 355000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷³

2⁷²

2⁷¹

2⁷⁰

2⁶⁹

2⁶⁸

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-11-09T22:53:19+00:00