M3 989 418 749 Mersenne number exponent details

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is 2 ^3989418749 - 1

has 1200934709 decimal digits

takes 1,000,863.898 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	2⁶⁹	0.0299	53.6232%	-	-	-	-	0.0299	53.6232%
Target	2⁹²	251,408.5931	65.2174%	20000000	6000000000	125,796.0639	4.2349%	377,204.6570	66.6904%
Difference	-23	-251,408.5631	-11.5942%	-20000000	-6000000000	-125,796.0639	-4.2349%	-377,204.6270	-13.0672%

Known prime factors (1 factor, 39.5 bits, 0.00000099% 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
3989418749	797883749801	12	39.537	100 2² × 5²	2012-08-20	25	25	2.273e-11	0.0091	0.0185

P-1 results:
No P-1 results for M3989418749

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-11-19	ramgeis	r4mg31s	2¹	2⁶⁹	797883749801	39.537	12	2.27289e-11	2,050,770	4.65715e-11

ECM factoring results:
No ECM results for M3989418749

Lucas-Lehmer results:
No L-L results for M3989418749

PRP results:
No PRP results for M3989418749

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

TF factor-bounds graph:

2⁶⁹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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