OFFSET
1,1
COMMENTS
The record gap values are 6, 10, 12, 14, 24, 36, 70, 84, ... (see the link for more values).
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..42
Amiram Eldar, Table of n, a(n), gap(n) for n = 1..42
EXAMPLE
The first 6 terms of A091191 are 12, 18, 20, 30, 42 and 56. The differences between these terms are 6, 2, 10, 12 and 14. The record gaps are 6, 10, 12 and 14, which occur after the terms 12, 20, 30 and 42.
MATHEMATICA
primAbQ[n_] := DivisorSigma[1, n] > 2 n && AllTrue[Most @ Rest @ Divisors[n], DivisorSigma[1, #] <= 2*# &]; seq = {}; m = 12; dm = 0; Do[If[primAbQ[n], d = n - m; If[d > dm, dm = d; AppendTo[seq, m]]; m = n], {n, 13, 10^6}]; seq
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Apr 29 2020
STATUS
approved