Repeated Prime-Differences
Leroy Quet
qq-quet at mindspring.com
Mon Sep 6 15:03:48 CEST 2004
It appears that the following sequence(s) is/are not in the EIS, somewhat
surprisingly.
(Could someone please compute them and submit. thanks.)
If p(k) is the k_th prime,
the sequence consists of primes p where
p(k+1) - p = p - p(k-1),
if k is such that p(k) = p.
I get: 5, 53,...
Related sequences which may or may not be in the EIS already:
* sequence of primes (with the possibility of repetitions) p(k+1), p(k),
p(k-1)
where p(k+1) -p(k) = p(k) - p(k-1).
3,5,7,47,53,59,...
* the above sequence with distinct primes only.
3,5,7,47,53,59,...
* the sequence of k's (the order of the primes p(k)).
3, 16,...
* the sequence of {p(k+1) -p(k)}'s
when p(k+1) - p(k) = p(k) -p(k-1).
2, 6,...
thanks,
Leroy Quet
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