M55 251 017 Mersenne number exponent details

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is 2 ^55251017 - 1

has 16632214 decimal digits

takes 117.101 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	0.5378	61.1940%	-	-	-	-	0.5378	61.1940%
Target	2⁷³	34.6210	64.3836%	360000	12000000	3.0553	3.9323%	37.6763	65.7841%
Difference	-6	-34.0832	-3.1895%	-360000	-12000000	-3.0553	-3.9323%	-37.1385	-4.5901%

Known prime factors (3 factors, 122.2 bits, 0.00022124% 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
55251017	773514239	9	29.527	7 7	-	1	7	1.296e-12	4.078e-6	6.254e-6
55251017	26851994263	11	34.644	243 3⁵	2008-09-10	243	243	4.360e-11	0.0007	0.0015
55251017	302109763044499121	18	58.068	2733974680 2³ × 5 × 17² × 236503	2015-08-06	289	236503	0.0010	0.0404	0.0740

4 Composite Factors:

P-1 results:
No P-1 results for M55251017

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-10	Will Edgington	Manual testing	?	?	26851994263	34.644	11	2.17875e-12	271.9	5.05849e-12
2015-08-06	TJAOI	Manual testing	2⁵⁸	2⁵⁹*	302109763044499121	58.068	18	0.000	271.9	0.001

ECM factoring results:
No ECM results for M55251017

Lucas-Lehmer results:
No L-L results for M55251017

PRP results:
No PRP results for M55251017

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

10⁵

10⁶

TF factor-bounds graph:

2⁵⁹

2

this exponent TF target: 73

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2023-04-26T21:34:10+00:00