M4 001 492 087 Mersenne number exponent details

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is 2 ^4001492087 - 1

has 1204569146 decimal digits

takes 1,003,892.853 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	250,650.0408	65.2174%	20000000	9600000000	197,146.2306	4.2361%	447,796.2713	66.6908%
Difference	-21	-250,649.9213	-10.2878%	-20000000	-9600000000	-197,146.2306	-4.2361%	-447,796.1519	-11.7612%

Known prime factors (2 factors, 91.6 bits, 0.00000229% 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
4001492087	896334227489	12	39.705	112 2⁴ × 7	2012-08-20	16	16	2.318e-11	0.0058	0.0118
4001492087	4207040732525017	16	51.902	525684 2² × 3 × 71 × 617	2019-06-28	71	617	1.221e-7	0.0366	0.0526

1 Composite Factors:

P-1 results:
No P-1 results for M4001492087

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-28			2³⁹	2⁴⁰	896334227489	39.705	12	4.88068e-12	236,415	1.04541e-11
2019-06-28			2⁵¹	2⁵²	4207040732525017	51.902	16	4.71223e-8	236,415	1.00933e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2022-12-11	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.105	-	-

ECM factoring results:
No ECM results for M4001492087

Lucas-Lehmer results:
No L-L results for M4001492087

PRP results:
No PRP results for M4001492087

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

10²

10⁰

10¹

10²

10³

TF factor-bounds graph:

2⁷¹

2⁵²

2⁴⁰

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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