A194267 Smallest sum of three distinct primes of the form n*k+1.

10, 15, 39, 35, 83, 39, 143, 131, 129, 83, 179, 111, 263, 143, 243, 227, 479, 129, 839, 203, 381, 179, 463, 363, 503, 263, 543, 339, 641, 243, 1367, 547, 597, 479, 563, 219, 965, 839, 549, 563, 1643, 381, 1551, 839, 993, 463, 1883, 531, 1571, 503, 819, 523

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

a(1) = 2+3+5 = 10.
a(2) = 3+5+7 = 15.
a(3) = 7+13+19 = 39.
a(4) = 5+13+17 = 35.
a(5) = 11+31+41 = 83.
a(6) = 7+13+19 = 39.

Mathematica

Table[ps = Select[Table[n*k + 1, {k, 100}], PrimeQ, 3]; If[Length[ps] == 3, Total[ps], 0], {n, 100}] (* T. D. Noe, Oct 21 2011 *)

Crossrefs

Cf. A077318, A132810, A193873, A194266.

Sequence in context: A128703 A276914 A078818 * A261853 A259629 A212794

Adjacent sequences: A194264 A194265 A194266 * A194268 A194269 A194270

Keyword

nonn

Author

Omar E. Pol, Sep 03 2011

Status

approved