M3 928 295 347 Mersenne number exponent details

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is 2 ^3928295347 - 1

has 1182534732 decimal digits

takes 985,529.282 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	2⁶⁸	0.0152	52.9412%	-	-	-	-	0.0152	52.9412%
Target	2⁹²	255,320.4549	65.2174%	20000000	6000000000	125,796.0639	4.2286%	381,116.5188	66.6882%
Difference	-24	-255,320.4397	-12.2762%	-20000000	-6000000000	-125,796.0639	-4.2286%	-381,116.5036	-13.7470%

Known prime factors (1 factor, 66.2 bits, 0.00000169% 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
3928295347	86755857624662878199	20	66.234	11042430617 23 × 480105679	2016-10-26	23	480105679	0.0055	9,515.5	17,772

P-1 results:
No P-1 results for M3928295347

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2021-05-30	slaur	nocebo-1650	2⁶⁴	2⁶⁸	86755857624662878199	66.234	20	0.014	2,002,410	0.029

ECM factoring results:
No ECM results for M3928295347

Lucas-Lehmer results:
No L-L results for M3928295347

PRP results:
No PRP results for M3928295347

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

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TF factor-bounds graph:

2⁶⁸

this exponent TF target: 92

2⁵⁰

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2¹⁰⁰

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