OFFSET
1,1
COMMENTS
Numbers k such that k and k+1 are both in A048098.
This sequence is infinite: if p is an odd prime then p^2-1 is a term.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
EXAMPLE
8 is a term since 8 is sqrt(8)-smooth (2^2 <= 8) and 9 is sqrt(9)-smooth (3^2 <= 9).
MATHEMATICA
smQ[n_] := FactorInteger[n][[-1, 1]]^2 <= n; Select[Range[1000], smQ[#] && smQ[# + 1] &]
CROSSREFS
KEYWORD
nonn
AUTHOR
Amiram Eldar, Jul 02 2022
STATUS
approved