M4 062 231 937 Mersenne number exponent details

≡

is 2 ^4062231937 - 1

has 1222853663 decimal digits

takes 1,019,131.244 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	0.1177	54.9296%	-	-	-	-	0.1177	54.9296%
Target	2⁹²	246,902.2376	65.2174%	20000000	6000000000	125,796.0639	4.2423%	372,698.3015	66.6930%
Difference	-21	-246,902.1199	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2423%	-372,698.1838	-11.7634%

Known prime factors (1 factor, 35.9 bits, 0.00000088% 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
4062231937	64995710993	11	35.920	8 2³	2012-08-20	8	8	1.148e-12	0.0029	0.0059

P-1 results:
No P-1 results for M4062231937

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-07-02			2³⁵	2³⁶	64995710993	35.920	11	2.14630e-14	239,531	4.58818e-14
2023-02-02	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.103	-	-

ECM factoring results:
No ECM results for M4062231937

Lucas-Lehmer results:
No L-L results for M4062231937

PRP results:
No PRP results for M4062231937

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

TF factor-bounds graph:

2⁷¹

2³⁶

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

JSON version of this page

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