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A139313
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Primes prime(n) such that -prime(n-1)+3prime(n)-3prime(n+1)+prime(n+2)=0.
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1
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19, 37, 43, 67, 83, 229, 257, 277, 349, 353, 383, 443, 479, 571, 613, 643, 677, 683, 719, 751, 1033, 1093, 1279, 1297, 1429, 1433, 1489, 1553, 1609, 1621, 1663, 1733, 1747, 1783, 1867, 1987, 1993, 2053, 2137, 2207, 2377, 2467, 2503, 2579, 2683, 2689, 2693
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OFFSET
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1,1
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COMMENTS
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If A006562 is when -Prime[ -1 + n] + 2 Prime[n] - Prime[1 + n] = 0; then this "Integer differential" is the next higher order.
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LINKS
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FORMULA
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MATHEMATICA
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Flatten[Table[If[ -Prime[ -1 +n] + 3*Prime[n] - 3*Prime[1 + n] + Prime[n + 2] == 0, Prime[n], {}], {n, 2, 500}]]
Select[Partition[Prime[Range[500]], 4, 1], 3#[[2]]+#[[4]]==#[[1]]+3#[[3]]&][[All, 2]](* Harvey P. Dale, Jul 09 2018 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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