De Polignac numbers: Difference between revisions
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(Added second XPL0 example.) |
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273421</syntaxhighlight> |
273421</syntaxhighlight> |
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(We use 999 here for the 1000th number because 0 is the first J index.) |
(We use 999 here for the 1000th number because 0 is the first J index.) |
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=={{header|jq}}== |
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{{works with|jq}} |
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<syntaxhighlight lang=jq> |
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# Input should be an integer |
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def isPrime: |
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. as $n |
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| if ($n < 2) then false |
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elif ($n % 2 == 0) then $n == 2 |
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elif ($n % 3 == 0) then $n == 3 |
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else 5 |
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| until( . <= 0; |
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if .*. > $n then -1 |
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elif ($n % . == 0) then 0 |
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else . + 2 |
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| if ($n % . == 0) then 0 |
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else . + 4 |
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end |
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end) |
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| . == -1 |
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end; |
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# Generate the stream of de Polignac integers: |
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def dePolignacs: |
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1, |
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( range(3; infinite; 2) as $n |
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| first( |
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foreach range(0; infinite) as $i (null; |
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if . == null then 1 else .*2 end; |
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if . > $n then $n |
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elif ($n - .) | isPrime |
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then -1 |
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else empty |
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end) ) |
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| select(.>0) ) ; |
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def lpad($len): tostring | ($len - length) as $l | (" " * $l)[:$l] + .; |
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def task($n): |
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(label $out |
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| foreach dePolignacs as $i ({}; |
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.count += 1 |
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| if .count <= 50 |
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then .dp += [$i] |
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elif .count == 1000 |
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then .dp1000 = $i |
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elif .count == 10000 |
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then .dp10000 = $i |
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else . |
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end; |
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if .count == 10000 then ., break $out else empty end)) |
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| "The first \($n) de Polignac numbers:", |
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(.dp | _nwise(10) | map(lpad(4)) | join(" ")), |
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"\nThe 1,000th: \(.dp1000)", |
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"\nThe 10,000th: \(.dp10000)"; |
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task(50) |
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</syntaxhighlight> |
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Invocation: jq -nrc -f de-polignac.jq |
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{{output}} |
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<pre> |
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The first 50 de Polignac numbers: |
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1 127 149 251 331 337 373 509 599 701 |
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757 809 877 905 907 959 977 997 1019 1087 |
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1199 1207 1211 1243 1259 1271 1477 1529 1541 1549 |
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1589 1597 1619 1649 1657 1719 1759 1777 1783 1807 |
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1829 1859 1867 1927 1969 1973 1985 2171 2203 2213 |
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The 1,000th: 31941 |
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The 10,000th: 273421 |
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</pre> |
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=={{header|Phix}}== |
=={{header|Phix}}== |
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