A354572 Prime partial sums of the primes == 1 (mod 6).

7, 107, 211, 739, 1657, 2953, 4091, 20479, 23459, 33713, 35671, 46133, 60527, 63127, 77237, 80209, 86399, 106277, 127997, 139871, 178757, 183361, 197569, 238853, 255239, 272171, 353611, 367019, 394759, 416089, 460189, 475421, 625199, 652499, 808111, 860393, 903871, 925979, 959603, 1005217

Offset

1,1

Comments

Primes in A038349.

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

a(3) = 211 is a term because 211 = A037349(7) = 7+13+19+31+37+43+61 and is prime.

Maple

R:= NULL: count:= 0: t:= 0:
for p from 1 by 6 while count < 100 do
  if isprime(p) then
    t:= t+p;
    if isprime(t) then R:= R, t; count:= count+1 fi
  fi
od:
R;

Mathematica

Select[Accumulate[Select[Prime[Range[1000]], Mod[#, 6] == 1 &]], PrimeQ] (* Amiram Eldar, Aug 18 2022 *)

Crossrefs

Cf. A038349, A354573.

Sequence in context: A138963 A141932 A002687 * A166547 A156204 A231519

Adjacent sequences: A354569 A354570 A354571 * A354573 A354574 A354575

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Aug 18 2022

Status

approved