M4 015 431 593 Mersenne number exponent details

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is 2 ^4015431593 - 1

has 1208765356 decimal digits

takes 1,007,389.991 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	0.1191	54.9296%	-	-	-	-	0.1191	54.9296%
Target	2⁹²	249,779.9132	65.2174%	20000000	6000000000	125,796.0639	4.2375%	375,575.9771	66.6913%
Difference	-21	-249,779.7942	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2375%	-375,575.8580	-11.7617%

Known prime factors (1 factor, 67.6 bits, 0.00000168% 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
4015431593	229840102703031911009	21	67.639	28619601328 2⁴ × 10369 × 172507	2018-07-26	10369	172507	0.0143	6.9855	7.6766

P-1 results:
No P-1 results for M4015431593

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2020-09-11	slaur	nocebo-1650	2⁶⁴	2⁶⁸	229840102703031911009	67.639	21	0.014	2,048,110	0.029
2022-12-25	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4015431593

Lucas-Lehmer results:
No L-L results for M4015431593

PRP results:
No PRP results for M4015431593

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

10³

10⁴

10⁵

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁷¹

2⁶⁸

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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