A355849 - OEIS

A355849

a(n) is the least k > 1 such that k*n is the average of two consecutive primes.

4, 2, 2, 3, 3, 2, 3, 7, 2, 3, 9, 5, 2, 3, 2, 4, 2, 4, 4, 3, 2, 7, 3, 3, 2, 10, 3, 2, 12, 2, 3, 2, 3, 3, 3, 2, 3, 2, 5, 3, 5, 10, 2, 4, 4, 3, 6, 3, 9, 3, 2, 5, 12, 2, 3, 10, 4, 6, 4, 2, 10, 3, 5, 3, 3, 3, 2, 8, 2, 6, 6, 2, 10, 5, 2, 3, 2, 4, 14, 2, 4, 3, 9, 5, 2, 12, 4, 2, 4, 2, 12, 6, 2, 3, 6, 2

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OFFSET

1,1

COMMENTS

a(n) is the least k > 1 such that k*n is in A024675.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(4) = 3 because 3*4 = 12 is the average of consecutive primes 11 and 13.

MAPLE

M:= {seq((ithprime(i)+ithprime(i+1))/2, i=2..10^5)}:

f:= proc(p) local k;