15 Jul
2012
15 Jul
'12
3:12 p.m.
Dear all, None of 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, is squareful. On Sun, 15 Jul 2012, Wouter Meeussen wrote:
[[ apart from the fact that any fib(n) containing a factor p^i (i>1 of course) seems to have mod(n,p)=0 ]]
up to fib(258), at least one of fib(k) .. fib(k+6) is squareful. Analogously, the squareful fibs are spaced no more than 6 apart. Anyone for a counter-example?
Their separations are counted as {1, 5 times}, {2, 11 times}, {3, 5}, {4, 7}, {5, 4}, {6, 27} So 6 is a ‘preferred distance’ for lowish n.
Wouter
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