M229 001 417 Mersenne number exponent details

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is 2 ^229001417 - 1

has 68936296 decimal digits

takes 2,264.570 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	0.1298	58.2090%	-	-	-	-	0.1298	58.2090%
Target	2⁷⁹	534.6394	64.5570%	1400000	55000000	61.9480	4.1729%	596.5874	66.0360%
Difference	-12	-534.5097	-6.3480%	-1400000	-55000000	-61.9480	-4.1729%	-596.4577	-7.8270%

Known prime factors (2 factors, 93.8 bits, 0.00004098% 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
229001417	6870042511	10	32.678	15 3 × 5	2007-12-27	3	5	2.507e-12	4.458e-5	8.755e-5
229001417	2572755483264217529	19	61.158	5617335292 2² × 1404333823	2016-04-06	4	1404333823	0.0019	1,097.1	2,049.1

1 Composite Factors:

P-1 results:
No P-1 results for M229001417

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2016-04-06	TJAOI	Manual testing	2⁶¹	2⁶²*	2572755483264217529	61.158	19	0.001	5,126	0.001

ECM factoring results:
No ECM results for M229001417

Lucas-Lehmer results:
No L-L results for M229001417

PRP results:
No PRP results for M229001417

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

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁷

10⁸

10⁹

10¹⁰

TF factor-bounds graph:

2⁶²

this exponent TF target: 79

TF double-checked to: 67.7

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

Last modified: 2016-04-06T11:24:21+00:00