M30 402 457 Mersenne number exponent details

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is 2 ^30402457 - 1

has 9152052 decimal digits

takes 31.669 GHz-days to do one PRP test

Is a Mersenne Prime!

Last-known PrimeNet details:

Exponent is not assigned to anyone

0 primality tests remaining

Verified Mersenne Prime

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability
Actual	2⁶⁸	1.9605	63.2353%	435000	435000	0.6570	2.5416%	2.6176	64.1697%
Target	2⁷¹	15.7250	64.7887%	200000	30000000	2.7544	3.5663%	18.4794	66.0445%
Difference	-3	-13.7645	-1.5534%	+235000	-29565000	-2.0973	-1.0247%	-15.8618	-1.8747%

Known prime factors:
None — M30402457 is prime!

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2005-11-13	curtisc	v4_computers	435000	435000		-		-	-	0.657	-	-	2.542%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-09-16	Net_Force	v4_computers	2¹	2⁵⁶		-	-	0.000	-	-
2003-06-23	AxelFox	v4_computers	2¹	2⁶⁰		-	-	0.005	-	-
2004-12-13	markr	v4_computers	2¹	2⁶²		-	-	0.020	-	-
2005-07-17	TheJudger	v4_computers	2¹	2⁶⁷		-	-	0.977	-	-
2005-11-13	curtisc	v4_computers	2¹	2⁶⁸		-	-	1.961	-	-

ECM factoring results:
No ECM results for M30402457

Lucas-Lehmer results:
No L-L results for M30402457

PRP results:
No PRP results for M30402457

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 = 435000 (P-1 stage 1)

10⁴

10⁵

10⁶

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁸

2⁶⁷

2⁶²

2⁶⁰

2⁵⁶

this exponent TF target: 71

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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Last modified: 2023-10-02T12:12:48+00:00