A179321 Numbers m such that the sum of the first k odd primes = m-th odd prime.

1, 30, 74, 94, 792, 852, 1037, 1178, 1395, 1557, 2468, 3602, 3725, 5064, 5361, 5514, 6461, 8979, 9765, 11005, 16503, 19798, 20090, 21254, 22475, 24686, 30480, 30822, 37614, 44243, 44668, 45528, 49999, 50924, 53241, 61613, 64721, 65236

Offset

1,2

Links

Robert Israel, Table of n, a(n) for n = 1..1600

Formula

A007504(k) - 2 = A000040(a(n)+1).

A000040(a(n)+1) = A071151(n).

Example

30 is a term because A007504(6) - 2 = 127 = A000040(31).

Maple

A:= NULL: p:= 2: s:= 0: q:= 2: count:= 0: i:= 0:
while count < 100 do
  if s = q then count:= count+1; A:= A, i;  fi;
  if s <= q then p:= nextprime(p);  s:= s+p
  else q:= nextprime(q); i:= i+1
  fi;
od:
A; # Robert Israel, Aug 28 2023

Crossrefs

Cf. A000040, A007504, A071151.

Sequence in context: A218327 A259753 A308137 * A039517 A185479 A045560

Adjacent sequences: A179318 A179319 A179320 * A179322 A179323 A179324

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jan 06 2011

Status

approved