A343532 Primes in A343531.

2, 7, 31, 83, 307, 503, 919, 1483, 5059, 9439, 10139, 13159, 15647, 17431, 21491, 23671, 30911, 33599, 47459, 49199, 52627, 58199, 62327, 79379, 81551, 90971, 98443, 109171, 114643, 123439, 162007, 168863, 172331, 175811, 278767, 298303, 303011, 322951, 376399, 387631, 393007, 571531, 592531

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..4320

Example

a(3) = 31 = A343531(4) and is prime, so it is in the sequence.

Maple

P:= [seq(ithprime(i), i=1..1001)]:
G:= P[2..-1]-P[1..-2]:
A:= [seq(add(P[i]*G[n+1-i], i=1..n), n=1..1000)]:
select(isprime, A);

Mathematica

Select[Table[Sum[(Prime[i+1]-Prime[i])Prime[n+1-i], {i, n}], {n, 300}], PrimeQ] (* Harvey P. Dale, Feb 13 2023 *)

Crossrefs

Cf. A343531.

Sequence in context: A213721 A102162 A059846 * A034698 A115605 A289719

Adjacent sequences: A343529 A343530 A343531 * A343533 A343534 A343535

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Apr 18 2021

Status

approved