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

Author

Juri-Stepan Gerasimov, Jan 06 2011

Keywords

• nonn

Examples

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

Links

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

Crossrefs

Cf. A000040, A007504, A071151.

Programs

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

Formula

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

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