M34007353 Mersenne number exponent details

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is 2 ^34007353 - 1

has 10237234 decimal digits

takes 40.242 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	6B4D49D7B2172036	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	56.2480	64.3836%	460000	9085000	1.5956	3.6144%	57.8435	65.6709%
Target	2⁷¹	14.0581	63.3803%	240000	7000000	1.0437	3.8404%	15.1018	64.7866%
Difference	+2	+42.1899	+1.0033%	+220000	+2085000	+0.5518	-0.2260%	+42.7417	+0.8843%

Known prime factors:
No known factors for M34007353

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2004-12-23	ANONYMOUS	v4_computers	350000	3937500		-		-	-	0.936	-	-	2.895%
2004-12-23	ANONYMOUS	v4_computers	505000	505000		-		-	-	0.866	-	-	1.538%
2019-04-08	Architects Cubed	a3_bu2	460000	9085000	12	-		-	-	1.596	-	-	3.614%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2004-12-23	ANONYMOUS	v4_computers	2¹	2⁶⁸		-	-	1.753	-	-
2013-10-17	VictordeHollander	Manual testing	2⁶⁸	2⁶⁹		-	-	1.758	-	-
2014-09-07	VictordeHollander	Manual testing	2⁶⁹	2⁷⁰		-	-	3.516	-	-
2015-01-29	Nesowa	Manual testing	2⁷⁰	2⁷¹		-	-	7.032	-	-
2019-04-07	Architects Cubed	Manual testing	2⁷¹	2⁷²		-	-	14.06	-	-
2019-11-08	-Anonymous-	Manual testing	2⁷²	2⁷³		-	-	28.13	-	-

ECM factoring results:
No ECM results for M34007353

Lucas-Lehmer results:

date	userid	compid	res64	spent (GHz-days)
2004-12-23	ANONYMOUS	v4_computers	6B4D49D7B2172036	40.24
2005-02-02	ANONYMOUS	v4_computers	6B4D49D7B2172036	40.24

PRP results:
No PRP results for M34007353

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 = 460000, B2 = 9085000 (P-1 stage 2)

B1 = 350000, B2 = 3937500 (P-1 stage 2)

B1 = 505000 (P-1 stage 1)

B1 = 460000 (P-1 stage 1)

B1 = 350000 (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: 2019-11-08T19:47:15+00:00