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.

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

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