M4 005 356 393 Mersenne number exponent details

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is 2 ^4005356393 - 1

has 1205732418 decimal digits

takes 1,004,862.328 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	2⁷⁴	0.9552	56.7568%	-	-	-	-	0.9552	56.7568%
Target	2⁹²	250,408.2175	65.2174%	20000000	6000000000	125,796.0639	4.2365%	376,204.2814	66.6910%
Difference	-18	-250,407.2623	-8.4606%	-20000000	-6000000000	-125,796.0639	-4.2365%	-376,203.3262	-9.9342%

Known prime factors (1 factor, 73.8 bits, 0.00000184% 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
4005356393	16812908642065160782567	23	73.832	2098803076731 3² × 83 × 2677 × 1049549	2020-08-16	2677	1049549	0.8085	21.722	38.851

P-1 results:
No P-1 results for M4005356393

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-08-16	ramgeis	r4mg31s	2⁷³	2⁷⁴	16812908642065160782567	73.832	23	0.478	220,962	1.023

ECM factoring results:
No ECM results for M4005356393

Lucas-Lehmer results:
No L-L results for M4005356393

PRP results:
No PRP results for M4005356393

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

10²

10³

10⁴

10²

10³

10⁴

10⁵

10⁶

10⁷

TF factor-bounds graph:

2⁷⁴

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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