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 A329540 Numbers m such that the sum of the first m primes as well as the sum of the squares, the sum of the cubes and the sum of 4th powers of the first m primes are prime. 1
 3618, 743322, 1557552, 1808652, 2128724, 2242290, 2486874, 3534560, 4220258, 4617614, 4763114, 5701340, 5894718, 5921088, 6378312, 8376932, 8883662, 9021482, 10113080, 10766654, 11172798, 12168908, 14188014, 14806460, 16369448, 19775468, 19954778, 21259494, 21855360, 22533638 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Daniel Suteu, Table of n, a(n) for n = 1..1000 G. L. Honaker, Jr. and Chris Caldwell, Prime Curios! 3618 Carlos Rivera, Puzzle 978. Improve this curio, Prime Puzzles and Problems Connection. PROG (PARI) s=0; t=0; u=0; v=0; n=0; forprime(p=2, 1e8, s+=p; t+=p^2; u+=p^3; v+=p^4; n++; if (isprime(v) && isprime(u) && isprime(t) && isprime(s), print1(n, ", "))) CROSSREFS Cf. A124225, A329539. Sequence in context: A029829 A187745 A329539 * A223414 A046835 A143930 Adjacent sequences: A329537 A329538 A329539 * A329541 A329542 A329543 KEYWORD nonn AUTHOR Michel Marcus, Nov 16 2019 EXTENSIONS a(13)-a(30) from Daniel Suteu, Nov 16 2019 STATUS approved

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Last modified July 13 12:36 EDT 2024. Contains 374284 sequences. (Running on oeis4.)