M4 293 668 381 Mersenne number exponent details

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is 2 ^4293668381 - 1

has 1292522975 decimal digits

takes 1,162,123.091 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	0.1113	54.9296%	-	-	-	-	0.1113	54.9296%
Target	2⁹²	233,593.7632	65.2174%	22000000	6500000000	147,147.4059	4.3566%	380,741.1691	66.7327%
Difference	-21	-233,593.6518	-10.2878%	-22000000	-6500000000	-147,147.4059	-4.3566%	-380,741.0577	-11.8032%

Known prime factors (1 factor, 59.4 bits, 0.00000138% 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
4293668381	777100460678299217	18	59.431	90493768 2³ × 397 × 28493	2013-04-06	397	28493	2.419e-5	0.7566	1.1380

P-1 results:
No P-1 results for M4293668381

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-04-24	ramgeis	r4mg31s	2¹	2⁶⁹	777100460678299217	59.431	18	0.028	236,867	0.059
2022-12-09	slaur	palvi2-rtx	2⁶⁹	2⁷¹		-	-	0.084	-	-

ECM factoring results:
No ECM results for M4293668381

Lucas-Lehmer results:
No L-L results for M4293668381

PRP results:
No PRP results for M4293668381

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

10¹

10²

10³

10¹

10²

10³

10⁴

10⁵

TF factor-bounds graph:

2⁷¹

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