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 A124225 Numbers n such that the sum of the first n primes is prime and the sum of the squares of the first n primes is also prime. 3
 2, 158, 192, 216, 356, 426, 548, 680, 1178, 1196, 1466, 1500, 1524, 2324, 2438, 2904, 2990, 3060, 3146, 3618, 3902, 4110, 4134, 4346, 4602, 5790, 5840, 6186, 6344, 6710, 6720, 6836, 6990, 7592, 7632, 7716, 7790, 7838, 8156, 8420, 8622, 8658, 8664, 9092 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 3618 Carlos Rivera, Puzzle 978. Improve this curio, Prime Puzzles and Problems Connection. MATHEMATICA With[{nn=9100}, Position[Thread[{Accumulate[Prime[Range[nn]]], Accumulate[ Prime[ Range[ nn]]^2]}], _?(PrimeQ[ #[[1]]]&&PrimeQ[#[[2]]]&), 1, Heads-> False]]//Flatten (* Harvey P. Dale, Aug 18 2020 *) PROG (Magma) a013916:=func; a098561:=func; [n: n in [1..10000]|a013916(n) and a098561(n)]; // Bruno Berselli, Dec 28 2011 (PARI) s=0; t=0; n=0; forprime(p=2, 1e6, s+=p; t+=p^2; n++; if(isprime(t)&&isprime(s), print1(n", "))) \\ Charles R Greathouse IV, Dec 28 2011 CROSSREFS Intersection of A098561 (Numbers n such that the sum of the squares of the first n primes is prime) and A013916 (Numbers n such that the sum of the first n primes is prime). Sequence in context: A142006 A233575 A233263 * A159030 A064071 A116638 Adjacent sequences: A124222 A124223 A124224 * A124226 A124227 A124228 KEYWORD nonn AUTHOR Tanya Khovanova, Dec 13 2006 EXTENSIONS More terms from Bruno Berselli, Dec 28 2011 Definition rephrased by Harvey P. Dale, Aug 18 2020 STATUS approved

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Last modified July 23 17:14 EDT 2024. Contains 374552 sequences. (Running on oeis4.)