M4 004 934 463 Mersenne number exponent details

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is 2 ^4004934463 - 1

has 1205605405 decimal digits

takes 1,004,756.475 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	0.9553	56.7568%	-	-	-	-	0.9553	56.7568%
Target	2⁹²	250,434.5986	65.2174%	20000000	6000000000	125,796.0639	4.2365%	376,230.6625	66.6909%
Difference	-18	-250,433.6434	-8.4606%	-20000000	-6000000000	-125,796.0639	-4.2365%	-376,229.7072	-9.9342%

Known prime factors (1 factor, 73.9 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
4004934463	17029042222292913926951	23	73.850	2126007601325 5² × 85040304053	2020-08-17	25	85040304053	0.6198	1,685,456	3,147,962

P-1 results:
No P-1 results for M4004934463

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-08-17	ramgeis	r4mg31s	2⁷³	2⁷⁴	17029042222292913926951	73.850	23	0.478	220,939	1.023

ECM factoring results:
No ECM results for M4004934463

Lucas-Lehmer results:
No L-L results for M4004934463

PRP results:
No PRP results for M4004934463

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:

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