A087516 - OEIS

A087516

Consider pairs (i,j) such that j*P(i)# - P(i+2) and j*P(i)# - P(i+1) are consecutive primes and 0 < j < P(i+1), where P(r) = r-th prime and P(r)# = r-th primorial number (A002110). Sequence gives i values.

5, 5, 5, 7, 7, 7, 7, 7, 7, 11, 13, 13, 13, 13, 13, 17, 17, 17, 17, 17, 19, 23, 23, 29, 29, 31, 37, 37, 37, 43, 43, 43, 47, 47, 59, 61, 61, 61, 67, 67, 67, 73, 79, 79, 83, 83, 89, 89, 97, 97, 103, 109, 127, 131, 131, 137, 137, 151, 163, 163, 167, 167, 173, 173, 173, 179, 179

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..66.

EXAMPLE

1*2*3*5 - 11 = 19, 1*2*3*5 - 7 = 23, 19 and 23 consecutive primes;

3*2*3*5 - 11 = 79, 3*2*3*5 - 7 = 83, 79 and 83 consecutive primes;

4*2*3*5 - 11 = 109, 4*2*3*5 - 7 = 113, 109 and 113 consecutive primes;

so 5 = P(3) is the first term in the sequence and occurs 3 times for j=1,3,4.

CROSSREFS

A087517 gives j values.