OFFSET
1,1
COMMENTS
Inspired by a conjecture of David W. Wilson: for each nonzero polynomial P with integer coefficients, there is an integer X such that P(X) is X-smooth. Certain cyclotomic polynomials seem to stress the conjecture, but no refutation is yet known. If a(11) exists, it is greater than 1,060,000.
EXAMPLE
a(5)=2205 because C5(2205) = 23650012729981 = 11*11*31*61*101*691*1481; and no prime factor is greater than 2205.
CROSSREFS
KEYWORD
nonn
AUTHOR
Don Reble, Sep 20 2002
STATUS
approved