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A267421
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Primes of the form prime(n) + n + n^2.
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2
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17, 41, 73, 113, 139, 163, 193, 223, 491, 859, 919, 1187, 1259, 1409, 1483, 1901, 1987, 2083, 2267, 2467, 2677, 3221, 4339, 4603, 5923, 6079, 7573, 8839, 9421, 9619, 10223, 11489, 11701, 12143, 12589, 13499, 13729, 14449, 15679, 16183, 16703, 17231, 17497, 19121
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OFFSET
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1,1
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LINKS
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EXAMPLE
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The ninth prime is 23, and 23 + 9 + 9^2 = 113, which is prime, so 113 is in the sequence.
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MAPLE
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p:= 0: Res:= NULL:
for n from 1 to 1000 do
p:= nextprime(p);
if isprime(p+n+n^2) then Res:= Res, p+n+n^2 fi
od:
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MATHEMATICA
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Select[Table[Prime[n] + n + n^2, {n, 100}], PrimeQ] (* Alonso del Arte, Feb 22 2016 *)
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PROG
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(PARI) lista(nn) = {for (n=1, nn, if (isprime(p=prime(n)+n+n^2), print1(p, ", ")); ); } \\ Michel Marcus, Mar 13 2016
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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