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A082120 Smallest difference > 1 between d and n/d for any divisor d of n. 10
2, 3, 4, 5, 6, 2, 8, 3, 10, 4, 12, 5, 2, 6, 16, 3, 18, 8, 4, 9, 22, 2, 24, 11, 6, 3, 28, 7, 30, 4, 8, 15, 2, 5, 36, 17, 10, 3, 40, 11, 42, 7, 4, 21, 46, 2, 48, 5, 14, 9, 52, 3, 6, 10, 16, 27, 58, 4, 60, 29, 2, 12, 8, 5, 66, 13, 20, 3, 70, 6, 72, 35, 10, 15, 4, 7, 78, 2, 24, 39, 82, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET
3,1
COMMENTS
a(p) = p-1 for prime p.
LINKS
MAPLE
F:= proc(n) local p;
p:= min(select(t -> t - n/t > 1, numtheory:-divisors(n)));
p - n/p
end proc:
map(F, [$3..100]); # Robert Israel, Aug 12 2015
MATHEMATICA
sd[n_]:=Min[Select[Abs[#-n/#]&/@Divisors[n], #>1&]]; Array[sd, 90, 3] (* Harvey P. Dale, Sep 28 2013 *)
PROG
(PARI) for(n=3, 100, v=divisors(n); r=sqrt(n); t=0; for(k=1, length(v), if(v[k]>=r, t=k; break)); if(v[t]^2==n, u=t, u=t-1); if(v[t]-v[u]<2, u=u-1; t=t+1); print1(v[t]-v[u]", "))
CROSSREFS
Sequence in context: A245342 A203580 A043266 * A352425 A104148 A286450
KEYWORD
nonn,easy
AUTHOR
Ralf Stephan, Apr 04 2003
STATUS
approved

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Last modified July 13 22:24 EDT 2024. Contains 374288 sequences. (Running on oeis4.)