A071151 -id:A071151 - cp's OEIS frontend

A155852 n is prime and is the sum of the first k primes for some k in A071151.

3, 509, 146749, 26444543, 187206119, 735187721, 1662266153, 2146936021, 2844048943, 4335869143, 5539721989, 5990371801, 6145377247, 6788645863, 10092092897, 19122368737, 20186509381, 25745240897, 32732349829

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jan 29 2009

nonn

3+127+379=509 (prime), ...

Cf. A013918, A071151, A155851

s1=s2=0;lst={};Do[p=Prime[n];s1+=p;If[PrimeQ[s1],s2+=s1;If[PrimeQ[s2],AppendTo[lst,s2]]],{n,2,8!}];lst

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

Original entry on oeis.org

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

Juri-Stepan Gerasimov, Jan 06 2011

nonn

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

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

Cf. A000040, A007504, A071151.

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

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

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

A155851 n is prime and is the sum of the first k primes for some k, start from 5.

Original entry on oeis.org

5, 23, 53, 233, 563, 1259, 2579, 2909, 12713, 22543, 28099, 31729, 39607, 41017, 42463, 87511, 110359, 115279, 117787, 138863, 141671, 213533, 242243, 257353, 265117, 269069, 289171, 310019, 318557, 327193, 331603, 354097, 372607, 441101

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jan 28 2009

nonn

Analogous to A013918, A071151. Number '5' is first prime number after first composite number '4'.

Cf. A013918, A071151

s=0;lst={};Do[p=Prime[n];s+=p;If[PrimeQ[s],AppendTo[lst,s]],{n,3,7!}];lst
Select[Accumulate[Prime[Range[3,500]]],PrimeQ] (* Harvey P. Dale, Jun 22 2015 *)

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A155852 n is prime and is the sum of the first k primes for some k in A071151.

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

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A155851 n is prime and is the sum of the first k primes for some k, start from 5.

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