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Message boards : Project Staging Area : How many PRPNet Genefer Primes?

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Profile Roger
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Joined: 27 Nov 11
Posts: 1137
ID: 120786
Credit: 266,942,191
RAC: 7,885
Found 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,037,982)Cullen LLR Ruby: Earned 2,000,000 credits (2,015,907)ESP LLR Ruby: Earned 2,000,000 credits (2,232,391)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,088,705)PPS LLR Ruby: Earned 2,000,000 credits (2,962,062)PSP LLR Ruby: Earned 2,000,000 credits (2,539,644)SoB LLR Ruby: Earned 2,000,000 credits (2,122,524)SR5 LLR Ruby: Earned 2,000,000 credits (2,238,295)SGS LLR Ruby: Earned 2,000,000 credits (3,560,155)TRP LLR Ruby: Earned 2,000,000 credits (2,125,391)Woodall LLR Ruby: Earned 2,000,000 credits (2,037,732)321 Sieve Turquoise: Earned 5,000,000 credits (5,190,731)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (207,387)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,049,697)PPS Sieve Double Bronze: Earned 100,000,000 credits (100,422,123)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (3,227,972)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,021,659)AP 26/27 Sapphire: Earned 20,000,000 credits (20,651,644)GFN Emerald: Earned 50,000,000 credits (57,918,585)PSA Sapphire: Earned 20,000,000 credits (43,298,465)
Message 61660 - Posted: 14 Jan 2013 | 6:06:49 UTC

Found a web site that estimates the number of Generalized Fermat Primes in a sequence:
http://yves.gallot.pagesperso-orange.fr/primes/stat.html

N = 32768
b = 3,093,872 to 5,984,848, primes found by PRPNet = 33
Expected number of GF primes: 33.44 => error = -0.44
Poisson distribution:
Chance of 33 primes: 6.91%
Expected number of GF primes for 6,000,000 < b < 6,100,000 is 1.13

N = 65536
b = 684,736 to 2,894,394, primes found by PRPNet = 12
Expected number of GF primes: 26.37 => error = -14.37
Suspect PRPNet range tested or primes found not correct in stats.
Expected number of GF primes for 2,900,000 < b < 3,000,000 is 1.15

N = 262144
b = 2,900 to 864,200, primes found by PRPNet = 4
Expected number of GF primes: 3.39 => error = -0.61
Poisson distribution:
Chance of 4 primes: 18.54%
Expected number of GF primes for 864,000 < b < 1,000,000 is 0.49

N = 524288
Chance of any GF prime with b > 700,000 doesn't hit 50% till we've tested up to 1,080,000

Playing with the N and b ranges gives you a good idea of expected hit rates. History has shown this estimation to be pretty good.
____________

Profile Michael GoetzProject donor
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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (14,274,294)PSP LLR Turquoise: Earned 5,000,000 credits (5,197,957)SoB LLR Sapphire: Earned 20,000,000 credits (34,291,181)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (2,276,330)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Jade: Earned 10,000,000 credits (10,118,303)GFN Emerald: Earned 50,000,000 credits (74,225,768)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 61662 - Posted: 14 Jan 2013 | 6:47:46 UTC - in response to Message 61660.

http://www.primegrid.com/forum_thread.php?id=4801
____________
My lucky number is 75898524288+1

Message boards : Project Staging Area : How many PRPNet Genefer Primes?

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