A338273 a(n) is the sum of A338270(n) and the average of the primes immediately before and after A338270(n).

47, 73, 157, 167, 179, 263, 467, 719, 733, 757, 877, 887, 1021, 1327, 1367, 1453, 1613, 1997, 2027, 2477, 2593, 2633, 2767, 2879, 3001, 3083, 3119, 3203, 3307, 3583, 3623, 3733, 3779, 4021, 4157, 4217, 4273, 4327, 4561, 4703, 4787, 4801, 4933, 5087, 5153, 5387, 5399, 5573, 5701, 5879, 6343, 6359

Offset

1,1

Comments

All terms are prime.

Links

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

Formula

a(n) = A338270(n) + (A151799(A338270(n))+A151800(A338270(n)))/2.

Example

A338270(3) = 79 with previous and next primes 73 and 83, so a(3) = 79 + (83+83)/2 = 157.

Maple

q:= 3: r:= 5:
count:= 0: R:= NULL:
while count < 100 do
  p:= q; q:= r; r:= nextprime(r);
  if isprime((p+2*q+r)/2) then count:=count+1; R:= R, p + (q+r)/2;
  fi
od:
R;

Crossrefs

Cf. A151799, A151800, A338270.

Sequence in context: A369957 A052231 A092178 * A165335 A039425 A043248

Adjacent sequences: A338270 A338271 A338272 * A338274 A338275 A338276

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Oct 19 2020

Status

approved