M4 017 205 301 Mersenne number exponent details

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is 2 ^4017205301 - 1

has 1209299295 decimal digits

takes 1,007,834.978 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	0.1190	54.9296%	-	-	-	-	0.1190	54.9296%
Target	2⁹²	249,669.6284	65.2174%	20000000	6000000000	125,796.0639	4.2377%	375,465.6923	66.6914%
Difference	-21	-249,669.5094	-10.2878%	-20000000	-6000000000	-125,796.0639	-4.2377%	-375,465.5733	-11.7618%

Known prime factors (2 factors, 110.2 bits, 0.00000274% 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
4017205301	6038373769681529	16	52.423	751564 2² × 11 × 19 × 29 × 31	2013-10-12	29	31	2.148e-7	0.0106	0.0215
4017205301	246438825607887239	18	57.774	30672919 31 × 971 × 1019	2013-10-12	971	1019	8.409e-6	0.3542	0.7189

1 Composite Factors:

P-1 results:
No P-1 results for M4017205301

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2019-06-29			2⁵²	2⁵³	6038373769681529	52.423	16	6.54287e-8	2,046,330	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	246438825607887239	57.774	18	0.015	2,046,330	0.034
2023-10-27	VladimirLapin	GTX1080	2³¹	2⁶⁸	6038373769681529	52.423	16	0.015	2,046,330	0.034
2022-12-26	slaur	palvi2-rtx	2⁶⁸	2⁷¹		-	-	0.104	-	-

ECM factoring results:
No ECM results for M4017205301

Lucas-Lehmer results:
No L-L results for M4017205301

PRP results:
No PRP results for M4017205301

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

2⁵³

this exponent TF target: 92

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

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