M4 000 351 987 Mersenne number exponent details

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is 2 ^4000351987 - 1

has 1204225942 decimal digits

takes 1,003,606.825 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	0.1195	54.9296%	-	-	-	-	0.1195	54.9296%
Target	2⁹²	250,721.4760	65.2174%	20000000	9600000000	197,146.2306	4.2360%	447,867.7066	66.6908%
Difference	-21	-250,721.3565	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2360%	-447,867.5871	-11.7612%

Known prime factors (2 factors, 92.3 bits, 0.00000231% 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
4000351987	232020415247	12	37.755	29 29	2012-08-20	1	29	4.893e-12	0.0009	0.0009
4000351987	26853122779615031	17	54.576	3356345 5 × 671269	2014-08-19	5	671269	7.785e-7	13.306	24.848

1 Composite Factors:

P-1 results:
No P-1 results for M4000351987

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³⁷	2³⁸	232020415247	37.755	12	3.16027e-13	236,356	6.76934e-13
2019-06-28			2⁵⁴	2⁵⁵	26853122779615031	54.576	17	1.78544e-7	236,356	3.82444e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-10	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.105	-	-

ECM factoring results:
No ECM results for M4000351987

Lucas-Lehmer results:
No L-L results for M4000351987

PRP results:
No PRP results for M4000351987

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

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁵⁵

2³⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2023-07-11T14:45:05+00:00