M4 004 934 631 Mersenne number exponent details

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is 2 ^4004934631 - 1

has 1205605455 decimal digits

takes 1,004,756.517 GHz-days to do one PRP test

0 primality 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
Actual	2⁷¹	0.1194	54.9296%	-	-	-	-	0.1194	54.9296%
Target	2⁹²	250,434.5881	65.2174%	20000000	6000000000	125,796.0639	4.2365%	376,230.6520	66.6909%
Difference	-21	-250,434.4688	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2365%	-376,230.5327	-11.7614%

Known prime factors (1 factor, 37.8 bits, 0.00000094% 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
4004934631	232286208599	12	37.757	29 29	2012-08-20	1	29	4.887e-12	0.0009	0.0009

P-1 results:
No P-1 results for M4004934631

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³⁷	2³⁸	232286208599	37.757	12	3.15665e-13	236,591	6.76056e-13
2022-12-15	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4004934631

Lucas-Lehmer results:
No L-L results for M4004934631

PRP results:
No PRP results for M4004934631

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

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁷¹

2³⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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