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Message boards : General discussion : Prime Score

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Profile robishProject donor
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Joined: 7 Jan 12
Posts: 1992
ID: 126266
Credit: 5,861,834,385
RAC: 2,572,975
Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (46,627,058)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (9,950,938)PPS LLR Emerald: Earned 50,000,000 credits (81,462,474)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,658,541)TRP LLR Sapphire: Earned 20,000,000 credits (28,889,840)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (93,931,019)GFN Double Ruby: Earned 2,000,000,000 credits (4,556,256,999)WW Emerald: Earned 50,000,000 credits (96,052,000)
Message 122888 - Posted: 25 Nov 2018 | 14:03:13 UTC

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 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

recoil44Project donor
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Joined: 20 Dec 15
Posts: 167
ID: 433037
Credit: 411,347,492
RAC: 0
Discovered 1 mega primeFound 1 prime in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,019,377)Cullen LLR Turquoise: Earned 5,000,000 credits (5,064,170)ESP LLR Turquoise: Earned 5,000,000 credits (5,001,303)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,139)PPS LLR Turquoise: Earned 5,000,000 credits (6,021,807)PSP LLR Turquoise: Earned 5,000,000 credits (5,085,124)SoB LLR Turquoise: Earned 5,000,000 credits (5,042,051)SR5 LLR Turquoise: Earned 5,000,000 credits (5,077,248)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,448)TRP LLR Turquoise: Earned 5,000,000 credits (5,003,404)Woodall LLR Turquoise: Earned 5,000,000 credits (5,035,352)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,061,436)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,012,148)PPS Sieve Double Bronze: Earned 100,000,000 credits (108,556,313)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,089,865)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,297,782)AP 26/27 Emerald: Earned 50,000,000 credits (50,153,415)GFN Double Bronze: Earned 100,000,000 credits (106,065,222)PSA Emerald: Earned 50,000,000 credits (67,666,890)
Message 122890 - Posted: 25 Nov 2018 | 15:50:51 UTC - in response to Message 122888.

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

Profile robishProject donor
Volunteer moderator
Volunteer tester
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Joined: 7 Jan 12
Posts: 1992
ID: 126266
Credit: 5,861,834,385
RAC: 2,572,975
Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (46,627,058)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (9,950,938)PPS LLR Emerald: Earned 50,000,000 credits (81,462,474)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,658,541)TRP LLR Sapphire: Earned 20,000,000 credits (28,889,840)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (93,931,019)GFN Double Ruby: Earned 2,000,000,000 credits (4,556,256,999)WW Emerald: Earned 50,000,000 credits (96,052,000)
Message 122891 - Posted: 25 Nov 2018 | 15:53:54 UTC - in response to Message 122890.

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 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Message boards : General discussion : Prime Score

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