M4 015 260 947 Mersenne number exponent details

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is 2 ^4015260947 - 1

has 1208713986 decimal digits

takes 1,007,347.179 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	249,790.5287	65.2174%	20000000	6000000000	125,796.0639	4.2375%	375,586.5926	66.6913%
Difference	-21	-249,790.4096	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2375%	-375,586.4735	-11.7617%

Known prime factors (3 factors, 156.9 bits, 0.00000391% 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
4015260947	1438659966788207	16	50.354	179149 31 × 5779	2013-09-06	31	5779	5.772e-8	0.1252	0.2139
4015260947	2099154331525919	16	50.899	261397 43 × 6079	2019-06-29	43	6079	5.132e-8	0.1353	0.2250
4015260947	55279767805902953	17	55.618	6883708 2² × 13² × 17 × 599	2019-10-04	169	599	2.129e-6	0.0700	0.1251

4 Composite Factors:

P-1 results:
No P-1 results for M4015260947

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2⁵⁰	2⁵¹	1438659966788207	50.354	16	2.03674e-8	2,045,360	0.034
2019-06-29			2⁵⁰	2⁵¹	2099154331525919	50.899	16	1.39637e-8	2,045,360	0.034
2019-10-05			2⁵⁵	2⁵⁶	55279767805902953	55.618	17	9.33521e-7	2,045,360	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	1438659966788207	50.354	16	0.015	2,045,360	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	2099154331525919	50.899	16	0.015	2,045,360	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	55279767805902953	55.618	17	0.015	2,045,360	0.034
2022-12-24	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4015260947

Lucas-Lehmer results:
No L-L results for M4015260947

PRP results:
No PRP results for M4015260947

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

10³

10⁰

10¹

10²

10³

10⁴

TF factor-bounds graph:

2⁷¹

2⁶⁸

2⁵⁶

2⁵¹

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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Last modified: 2023-10-27T18:34:25+00:00