M15 242 431 Mersenne number exponent details

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is 2 ^15242431 - 1

has 4588429 decimal digits

takes 7.645 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

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	2⁶⁷	1.9494	64.1791%	400000	418099500	16.8404	10.1461%	18.7899	67.8135%
Target	2⁶⁹	7.8325	65.2174%	100000	13000000	0.5838	3.0004%	8.4164	66.2610%
Difference	-2	-5.8831	-1.0383%	+300000	+405099500	+16.2566	+7.1457%	+10.3735	+1.5525%

Known prime factors (1 factor, 58.2 bits, 0.00038206% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
15242431	339360816419598703	18	58.236	11132109321 3 × 59 × 62893273	2001-02-04	59	62893273	0.0037	2.4919	4.6541

P-1 results:

										GHz-Days		worth	Factor probability
date	userid	compid	b1	b2	e	stage	factor	digits	bits*	spent	saved	worth	Factor probability
2023-05-21	nordi	sweet16_30.8b14	400000	400000		-		-	-	0.291	-	-	2.491%
2023-06-02	nordi	sweet16_30.8b14	400000	418099500		-	skipped known factor: 339360816419598703	-	-	16.84	-	-	10.146%

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2001-02-04	ANONYMOUS	v4_computers	?	?	339360816419598703	58.236	18	0.001	23.29	0.004
2000-12-31	Net_Force	v4_computers	2¹	2⁵⁷		-	-	0.001	-	-
2001-01-08	Net_Force	v4_computers	2¹	2⁵⁸		-	-	0.003	-	-

ECM factoring results:
No ECM results for M15242431

Lucas-Lehmer results:
No L-L results for M15242431

PRP results:

date

userid

compid

cofactors

res64

PRP

2023-07-04

Funky Waddle

main

339360816419598703

035121DEDB10D344

no

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

B1 = 400000, B2 = 418099500 (P-1 stage 2)

B1 = 400000 (P-1 stage 1)

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TF factor-bounds graph:

2⁵⁸

2⁵⁷

2

this exponent TF target: 69

TF double-checked to: 67.9

2⁵⁰

2⁶⁰

2⁷⁰

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