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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
OFFSET
2,1
LINKS
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
Sequence in context: A288880 A126117 A096279 * A261087 A140771 A142309
KEYWORD
nonn
AUTHOR
J. M. Bergot and Robert Israel, Jan 22 2021
STATUS
approved