A235383 - OEIS (original) (raw)

This sequence and [A229037](/A229037 "The "forest fire": sequence of positive integers where each is chosen to be as small as possible subject to the condition th...") and A235265 are winners in the contest held at the 2014 AMS/MAA Joint Mathematics Meetings. - T. D. Noe, Jan 20 2014

Carmichael's theorem implies that 8 and 144 are the only terms of this sequence.

Saha and Karthik conjectured (without reference to Carmichael's theorem) that the only positive integers k for which A001175(k^2) = A001175(k) are 6 and 12. (A000045(6) = 8 and A000045(12) = 144.) - L. Edson Jeffery, Feb 13 2014

Y. Bugeaud, M. Mignotte, and S. Siksek proved that 8 and 144 are the only nontrivial perfect power Fibonacci numbers. - Robert C. Lyons, Dec 23, 2015