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Prime Score
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robishVolunteer moderator Volunteer tester
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Joined: 7 Jan 12 Posts: 1964 ID: 126266 Credit: 5,722,827,831 RAC: 2,075,174

The scoring of primes seems to be exponential. Can anyone explain how it's calculated?
For example if a gfn 21 or 22 was found tomorrow, what prime score would they have?
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My lucky numbers 1059094^{1048576}+1 and 224584605939537911+81292139*23#*n for n=0..26  


For those who are interested, the formula is:
score = X^3 * ln(X) / Q
X is the size of the number expressed in base e  i.e., it's similar to the standard length calculation LOG10(k) + LOG10(b)*n, except using the natural logarithm instead of the base 10 logarithm. So X = ln(k) + ln(b)*n.
Q is a scaling factor equal to 150732545640984000.
Furthermore, if you're the double checker, the score is reduced by 50%.
Michael posted this a while back  

robishVolunteer moderator Volunteer tester
Send message
Joined: 7 Jan 12 Posts: 1964 ID: 126266 Credit: 5,722,827,831 RAC: 2,075,174

For those who are interested, the formula is:
score = X^3 * ln(X) / Q
X is the size of the number expressed in base e  i.e., it's similar to the standard length calculation LOG10(k) + LOG10(b)*n, except using the natural logarithm instead of the base 10 logarithm. So X = ln(k) + ln(b)*n.
Q is a scaling factor equal to 150732545640984000.
Furthermore, if you're the double checker, the score is reduced by 50%.
Michael posted this a while back
Thanks recoil44, I must have missed it. Cheers.
____________
My lucky numbers 1059094^{1048576}+1 and 224584605939537911+81292139*23#*n for n=0..26  

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