# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a092474 Showing 1-1 of 1 %I A092474 #6 Oct 04 2012 11:26:26 %S A092474 3,3,7,7,7,7,37,37,163,163,163,163,163,163,163,163,163,163,163 %N A092474 a(n) is the first term in a sequence of primes such that a(n)+4m^2 is also prime for m = 1 to n. %C A092474 a(1) starts sequence A023200; a(2) starts sequence A049492. (I've searched up to 2000000 but haven't yet found the terms from a(20) onward.) %e A092474 a(5) = 7. %e A092474 7+4(1^2) = 7+4(1) = 7+4 = 11 which is prime. %e A092474 7+4(2^2) = 7+4(4) = 7+16 = 23 which is prime. %e A092474 7+4(3^2) = 7+4(9) = 7+36 = 43 which is prime. %e A092474 7+4(4^2) = 7+4(16) = 7+64 = 71 which is prime. %e A092474 7+4(5^2) = 7+4(25) = 7+100 = 107 which is prime. %t A092474 Flatten[Table[Select[Prime[Range[100]],And@@PrimeQ[Table[#+4n^2,{n,i}]]&,1],{i,19}]] (* _Harvey P. Dale_, Oct 04 2012 *) %K A092474 nonn %O A092474 1,1 %A A092474 _Ray G. Opao_, Mar 25 2004 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE