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A194267
Smallest sum of three distinct primes of the form n*k+1.
2
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
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
KEYWORD
nonn
AUTHOR
Omar E. Pol, Sep 03 2011
STATUS
approved