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A345099
Primes in A114381.
1
23, 41, 109, 373, 349, 991, 839, 991, 2689, 2081, 1667, 3037, 2357, 4889, 12253, 3631, 16361, 7121, 5197, 12347, 9011, 5501, 29663, 10211, 32341, 15727, 7039, 13127, 13669, 15427, 28807, 16249, 9829, 31019, 31849, 25321, 60101, 33871, 34361, 14813, 64783, 28201, 40099, 69011, 19073, 19973, 101287
OFFSET
1,1
LINKS
EXAMPLE
A114381(2), A114381(3) and A114381(5) = 109 are prime while A114381(1) and A114382(4) are not, so a(3) = 109.
MAPLE
P:= [seq(ithprime(i), i=1..10000)]:
f:= n -> convert(P[P[n]..P[n+1]], `+`):
select(isprime, map(f, [$1..numtheory:-pi(10000)-1]));
MATHEMATICA
Select[Array[Sum[Prime[n], {n, Prime[#], Prime[#+1]}]&, 200], PrimeQ] (* Giorgos Kalogeropoulos, Jun 08 2021 *)
CROSSREFS
Cf. A114381.
Sequence in context: A106970 A155702 A114379 * A106969 A343816 A304390
KEYWORD
nonn,look
AUTHOR
J. M. Bergot and Robert Israel, Jun 07 2021
STATUS
approved