Earliest difference between prime gaps: Difference between revisions
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(Added Sidef) |
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Gap 386 starts at 35238645587, gap 388 starts at 156798792223, difference is 121560146636. |
Gap 386 starts at 35238645587, gap 388 starts at 156798792223, difference is 121560146636. |
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</pre> |
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=={{header|Sidef}}== |
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<lang ruby>func prime_gap_records(upto) { |
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var gaps = [] |
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var p = 3 |
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each_prime(p.next_prime, upto, {|q| |
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gaps[q-p] := p |
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p = q |
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}) |
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gaps.grep { defined(_) } |
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} |
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var gaps = prime_gap_records(1e8) |
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for m in (1 .. gaps.max.len) { |
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gaps.each_cons(2, {|p,q| |
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if (abs(q-p) > 10**m) { |
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say "10^#{m} -> (#{p}, #{q}) with gaps (#{ |
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p.next_prime-p}, #{q.next_prime-q}) and difference #{abs(q-p)}" |
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break |
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} |
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}) |
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}</lang> |
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{{out}} |
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<pre> |
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10^1 -> (7, 23) with gaps (4, 6) and difference 16 |
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10^2 -> (113, 1831) with gaps (14, 16) and difference 1718 |
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10^3 -> (113, 1831) with gaps (14, 16) and difference 1718 |
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10^4 -> (9551, 30593) with gaps (36, 38) and difference 21042 |
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10^5 -> (173359, 31397) with gaps (70, 72) and difference 141962 |
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10^6 -> (396733, 1444309) with gaps (100, 102) and difference 1047576 |
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10^7 -> (2010733, 13626257) with gaps (148, 150) and difference 11615524 |
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</pre> |
</pre> |
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