Multi-base primes: Difference between revisions
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</pre> |
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=={{header|Sidef}}== |
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{{trans|Julia}} |
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<lang ruby>func max_prime_bases(ndig, maxbase=36) { |
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var maxprimebases = [[]] |
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var nwithbases = [0] |
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var maxprime = (10**ndig - 1) |
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for p in (idiv(maxprime + 1, 10) .. maxprime) { |
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var dig = p.digits |
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var bases = (2..maxbase -> grep {|b| dig.all { _ < b } && dig.digits2num(b).is_prime }) |
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if (bases.len > maxprimebases.first.len) { |
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maxprimebases = [bases] |
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nwithbases = [p] |
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} |
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elsif (bases.len == maxprimebases.first.len) { |
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maxprimebases << bases |
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nwithbases << p |
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} |
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} |
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var (alen, vlen) = (maxprimebases.first.len, maxprimebases.len) |
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say("\nThe maximum number of prime valued bases for base 10 numeric strings of length ", |
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ndig, " is #{alen}. The base 10 value list of ", vlen > 1 ? "these" : "this", " is:") |
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maxprimebases.each_kv {|k,v| say(nwithbases[k], " => ", v) } |
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} |
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for n in (1..5) { |
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max_prime_bases(n) |
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}</lang> |
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{{out}} |
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<pre> |
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The maximum number of prime valued bases for base 10 numeric strings of length 1 is 34. The base 10 value list of this is: |
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2 => [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36] |
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The maximum number of prime valued bases for base 10 numeric strings of length 2 is 18. The base 10 value list of this is: |
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21 => [3, 5, 6, 8, 9, 11, 14, 15, 18, 20, 21, 23, 26, 29, 30, 33, 35, 36] |
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The maximum number of prime valued bases for base 10 numeric strings of length 3 is 18. The base 10 value list of these is: |
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131 => [4, 5, 7, 8, 9, 10, 12, 14, 15, 18, 19, 20, 23, 25, 27, 29, 30, 34] |
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551 => [6, 7, 11, 13, 14, 15, 16, 17, 19, 21, 22, 24, 25, 26, 30, 32, 35, 36] |
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737 => [8, 9, 11, 12, 13, 15, 16, 17, 19, 22, 23, 24, 25, 26, 29, 30, 31, 36] |
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The maximum number of prime valued bases for base 10 numeric strings of length 4 is 19. The base 10 value list of these is: |
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1727 => [8, 9, 11, 12, 13, 15, 16, 17, 19, 20, 22, 23, 24, 26, 27, 29, 31, 33, 36] |
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5347 => [8, 9, 10, 11, 12, 13, 16, 18, 19, 22, 24, 25, 26, 30, 31, 32, 33, 34, 36] |
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The maximum number of prime valued bases for base 10 numeric strings of length 5 is 18. The base 10 value list of this is: |
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30271 => [8, 10, 12, 13, 16, 17, 18, 20, 21, 23, 24, 25, 31, 32, 33, 34, 35, 36] |
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</pre> |
</pre> |
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