OFFSET
1,1
COMMENTS
REFERENCES
R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., New York, Springer-Verlag, (1994), pp. 70-74. (See Powerful numbers, section B16.)
LINKS
S. W. Golomb, Powerful numbers, Amer. Math. Monthly, Vol. 77 (October 1970), 848-852.
Carlos Rivera, Problem 53: Powerful numbers revisited
David T. Walker, Consecutive integer pairs of powerful numbers and related Diophantine equations, Fibonacci Quart., 14, (1976), pp. 111-116.
Wikipedia, Powerful number
EXAMPLE
12167 is included in this sequence because (12167, 12168) are a pair of consecutive powerful numbers, neither of which are perfect squares. However, 235224 is not in the sequence because although (235224,235225) are a pair of consecutive powerful numbers, the larger member of the pair is a square number (=485^2).
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Ant King, Jul 07 2013
STATUS
approved