M72 050 999 Mersenne number exponent details

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is 2 ^72050999 - 1

has 21689512 decimal digits

takes 192.636 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	0.4124	59.7015%	-	-	-	-	0.4124	59.7015%
Target	2⁷⁴	53.0994	63.5135%	500000	17000000	5.4234	4.1179%	58.5228	65.0160%
Difference	-7	-52.6870	-3.8120%	-500000	-17000000	-5.4234	-4.1179%	-58.1104	-5.3145%

Known prime factors (3 factors, 108.1 bits, 0.00015009% 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
72050999	144101999	9	27.103	1 1	-	1	1	2.482e-13	3.877e-6	7.890e-6
72050999	1296917983	10	30.272	9 3²	2008-09-11	9	9	1.989e-12	3.489e-5	7.101e-5
72050999	1911999491815249	16	50.764	13268376 2³ × 3² × 11² × 1523	2008-09-11	121	1523	4.044e-6	0.0008	0.0010

4 Composite Factors:

P-1 results:
No P-1 results for M72050999

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-11	Will Edgington	Manual testing	?	?	1296917983	30.272	10	3.86744e-15	443.8	8.90982e-15
2008-09-11	Will Edgington	Manual testing	?	?	1911999491815249	50.764	16	1.96277e-6	443.8	4.52183e-6

ECM factoring results:
No ECM results for M72050999

Lucas-Lehmer results:
No L-L results for M72050999

PRP results:
No PRP results for M72050999

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:

2

this exponent TF target: 74

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

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