M6 950 159 Mersenne number exponent details

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is 2 ^6950159 - 1

has 2092207 decimal digits

takes 1.516 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	4.2753	65.6716%	-	-	-	-	4.2753	65.6716%
Target	2⁶⁷	4.2753	65.6716%	45000	7200000	0.1375	2.2379%	4.4128	66.4399%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2379%	-0.1375	-0.7682%

Known prime factors (3 factors, 89.7 bits, 0.00128994% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
6950159	13900319	8	23.729	1 1	-	1	1	1.608e-13	3.162e-7	6.435e-7
6950159	166803817	9	27.314	12 2² × 3	2008-09-08	4	4	2.579e-12	1.265e-6	2.574e-6
6950159	419678401057	12	38.610	30192 2⁴ × 3 × 17 × 37	2008-09-08	17	37	8.088e-9	5.720e-6	1.094e-5

4 Composite Factors:

P-1 results:
No P-1 results for M6950159

Trial Factoring results:

			Bits		Factor			GHz-Days		worth
date	userid	compid	from	to	factor	bits*	digits	spent	saved	worth
2008-09-08	Will Edgington	Manual testing	?	?	166803817	27.314	9	6.68218e-15	7.335	3.23425e-14
2008-09-08	Will Edgington	Manual testing	?	?	419678401057	38.610	12	2.81913e-9	7.335	1.36449e-8

ECM factoring results:
No ECM results for M6950159

Lucas-Lehmer results:
No L-L results for M6950159

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-26

Oliver Kruse

GTX-0

13900319

166803817

419678401057

25B0C1B491DCEF__

no

2019-02-08

Chang Chia-Tche

exbbbe-lt

13900319

166803817

419678401057

25B0C1B491DCEF7B

no

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

10⁰

10¹

10²

TF factor-bounds graph:

2

this exponent TF target: 67

TF double-checked to: 67.8

2⁵⁰

2⁶⁰

2⁷⁰

Last modified: 2023-06-05T21:50:05+00:00