M6 960 199 Mersenne number exponent details

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is 2 ^6960199 - 1

has 2095229 decimal digits

takes 1.518 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	4.2691	65.6716%	-	-	-	-	4.2691	65.6716%
Target	2⁶⁷	4.2691	65.6716%	45000	7200000	0.1375	2.2384%	4.4066	66.4401%
Difference	-	-	-	-45000	-7200000	-0.1375	-2.2384%	-0.1375	-0.7684%

Known prime factors (2 factors, 59.1 bits, 0.00084883% 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
6960199	69601991	8	26.053	5 5	-	1	5	1.286e-12	3.851e-7	6.435e-7
6960199	8755930343	10	33.028	629 17 × 37	2008-09-08	17	37	1.868e-10	5.720e-6	1.094e-5

1 Composite Factors:

P-1 results:
No P-1 results for M6960199

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	?	?	8755930343	33.028	10	2.23841e-11	7.333	1.08159e-10

ECM factoring results:
No ECM results for M6960199

Lucas-Lehmer results:
No L-L results for M6960199

PRP results:

date

userid

compid

cofactors

res64

PRP

2018-01-28

Oliver Kruse

GTX-4

69601991

8755930343

50BE9374B110B3__

no

2019-02-12

arnaud

stm-11-010

69601991

8755930343

50BE9374B110B3AE

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