Data update
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7735 changed files with 38060 additions and 199180 deletions
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@ -1,6 +1,6 @@
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scope # Goldbach's comet, translation of Pluto
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local procedure goldbach( n :: number ) :: number
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local proc goldbach( n :: number ) :: number
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local count := 0;
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for i to n \ 2 do
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if numtheory.isprime( i ) and numtheory.isprime( n - i ) then
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@ -13,6 +13,4 @@ print ["\nG(1000000) =" G 1000000]
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csv: join.with:",\n" map select 4..2000 => even? 'x ->
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~"|x|, |G x|"
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; write the CSV data to a file which we can then visualize
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; via our preferred spreadsheet app
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write "comet.csv" csv
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csv >> "comet.csv"
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@ -19,10 +19,10 @@ FOR I = 1 TO MAX_G G[I] = 0: NEXT
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G[4] = 1 ' 4 is the only sum of 2 even primes
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FOR I = 3 TO HALF_MAX_G STEP 2
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IF P[I] THEN
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INC G[I + 1]
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FOR J = I + 2 TO MAX_G - 1
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INC G[I + I]
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FOR J = I + 2 TO MAX_G - I
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IF P[J] THEN
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INC G[I + 1]
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INC G[I + J]
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ENDIF
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NEXT
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ENDIF
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@ -41,7 +41,7 @@ FOR I = 3 TO MAX_P DIV 2 STEP 2
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NEXT
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PRINT FORMAT$("G(%D): ", MAX_P); GM
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FOR I = 2 TO MAX_G - 10 STEP 10
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FOR J = 1 TO I + 8 STEP 2
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FOR J = I TO I + 8 STEP 2
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GPSET I DIV 10, 240-G[J],RGB(255,255,255)
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NEXT
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NEXT
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@ -1,23 +0,0 @@
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do -- Goldbach's comet, translation of Lua
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local int = require( "int" ) -- RC Pluto integer library, inc. prime utilities
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local function goldbach( n : number ) : number
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local count = 0
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for i = 1, n // 2 do
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if int.isprime( i ) and int.isprime( n - i ) then
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++ count
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end
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end
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return count
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end
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print( "The first 100 G numbers:" )
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print( range( 100 ):map( | n | -> string.format( "%2d"..if n % 10 == 0 then "\n" else " " end
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, goldbach( 2 + n * 2 )
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)
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)
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:concat( "" )
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)
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print( $"G(1000000) = { goldbach( 1_000_000 ) }" )
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end
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@ -1,5 +1,5 @@
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-- 22 Mar 2025
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include Settings
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-- 23 Aug 2025
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include Setting
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say 'GOLDBACH''S COMET'
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say version
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@ -55,6 +55,4 @@ do i = 2 to x%2
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end
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return y/1
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include Abend
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include Functions
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include Sequences
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include Math
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