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A340817 a(n) is the least prime of the form prime(n)*p + prime(n+1)*q + prime(n+2)*r where p,q,r are consecutive primes. 2
83, 127, 167, 2749, 257, 307, 1427, 431, 769, 1811, 617, 4261, 2843, 2633, 881, 1459, 2087, 5023, 6199, 1831, 3461, 1373, 1459, 8353, 1567, 1607, 1657, 8353, 8867, 4111, 4231, 11801, 20983, 3529, 4903, 34283, 5227, 5399, 7307, 13103, 18311, 2917, 2957, 6311, 15101, 5113, 3407, 3457, 19433, 3581, 23689 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

Robert Israel, Table of n, a(n) for n = 2..10000

FORMULA

a(n) = prime(n)*A340821(n) + prime(n+1)*A151800(A340821(n)) + prime(n+2)*A151800(A151800(A340821(n))).

EXAMPLE

a(3) = 5*3 + 7*5 + 11*7 = 167.

MAPLE

f:= proc(n) local k, t;

  for k from 1 do

     t:=ithprime(n)*ithprime(k) + ithprime(n+1)*ithprime(k+1) + ithprime(n+2)*ithprime(k+2);

     if isprime(t) then return t fi;

  od

end proc:

map(f, [$2..30]);

CROSSREFS

Cf. A151800, A340821.

Sequence in context: A288880 A126117 A096279 * A261087 A140771 A142309

Adjacent sequences:  A340814 A340815 A340816 * A340818 A340819 A340820

KEYWORD

nonn

AUTHOR

J. M. Bergot and Robert Israel, Jan 22 2021

STATUS

approved

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Last modified September 18 01:54 EDT 2021. Contains 347504 sequences. (Running on oeis4.)