STATUS
proposed
approved
The OEIS is supported by the many generous donors to the OEIS Foundation.
proposed
approved
editing
proposed
a(2n) = A001597(n+2)-1, a(2n+1) = A001597(n+2)+1 for n >= 5, if (25,27) is the only pair of perfect powers who that differ by 2. (Note that it is known as Mihăilescu's theorem (formerly called Catalan's conjecture) that (8,9) is the only pair of perfect powers who differ by 1). ) - Jianing Song, Oct 15 2022
26 = 3^3 - 1, 126 = 5^3 + 1 are Cunningham numbers.
approved
editing
proposed
approved
editing
proposed
a(2n) = A001597(n+2)-1, a(2n+1) = A001597(n+2)+1 for n >= 5, if (25,27) is the only pair of perfect powers who differ by 2. (Note that it is known as Mihăilescu's theorem (formerly called Catalan's conjecture) that (8,9) is the only pair of perfect powers who differ by 1). - Jianing Song, Oct 15 2022
Cf. A001597 (the perfect powers).
approved
editing
reviewed
approved
proposed
reviewed
editing
proposed
Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CunninghamNumber.html">Cunningham Number.</a>.