cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A278076 Sums of finite subsequences of A280708.

Original entry on oeis.org

0, 1, 8, 9, 24, 25, 32, 33, 48, 49, 56, 57, 86, 87, 94, 95, 110, 111, 118, 119, 134, 135, 142, 143, 1260, 1261, 1268, 1269, 1284, 1285, 1292, 1293, 1308, 1309, 1316, 1317, 1346, 1347, 1354, 1355, 1370, 1371, 1378, 1379, 1394, 1395, 1402, 1403, 1890, 1891, 1898
Offset: 1

Views

Author

Robert Israel and Peter Luschny, Jan 20 2017

Keywords

Crossrefs

Cf. A280708.

Programs

  • Maple
    S:= {0}:  # adapted from A280708
    x:= 1:
    while x < 10^4 do
      if ormap(s -> isprime(s+x), S)
         then x:= x+1
         else S:= S union map(`+`, S, x)
      fi
    od:
    sort(convert(S,list));
  • Mathematica
    S = {0}; x = 1;
    While[x < 2000, If[AnyTrue[S, PrimeQ[#+x]&], x++, S = S ~Union~ (S+x)]];
    S (* Jean-François Alcover, Apr 29 2019 *)
  • SageMath
    def A278076(bound):
        x, y, S = 1, 1, {0}
        while x < bound:
            if any(is_prime(s+x) for s in S):
                x += 1
            else:
                y = x
                S = S.union(s+x for s in S)
        return [s for s in sorted(S) if s <= y]
    print(A278076(10^5))
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