A341338 a(n) is the smallest prime that is simultaneously the sum of 2n-1, 2n+1 and 2n+3 consecutive primes.

83, 311, 55813, 437357, 1219789, 8472193, 9496853, 6484103, 2166953, 37296143, 12671599, 13432571, 14968909, 145616561, 732092831, 220872569, 1381099933, 93482633, 4142423, 87030017, 3193060007, 736535783, 6390999871, 280886077, 464341303, 268231657, 686836817, 9000046663

Offset

1,1

Links

Table of n, a(n) for n=1..28.

Example

For n = 1: 83 = 23 + 29 + 31 = 11 + 13 + 17 + 19 + 23, and 83 is the smallest prime that is the sum of 1, 3 and 5 consecutive primes, so a(1) = 83.

Mathematica

Array[(k=1;
While[(i=Select[Intersection@@((Total/@Subsequences[Prime@Range@Prime[k++], {#}])&/@{2#-1, 2#+1, 2#+3}), PrimeQ])=={}]; First@i)&, 4] (* Giorgos Kalogeropoulos, Apr 26 2021 *)

Crossrefs

Cf. A034962, A034965, A082246, A082251, A127340, A127341, A161612.

Sequence in context: A141570 A334644 A288172 * A031433 A177099 A327850

Adjacent sequences: A341335 A341336 A341337 * A341339 A341340 A341341

Keyword

nonn

Author

Zak Seidov, Apr 25 2021

Status

approved