The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A023055 (Apparently) differences between adjacent perfect powers (integers of form a^b, a >= 1, b >= 2). 4
 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 30, 32, 33, 35, 36, 37, 38, 39, 40, 41, 43, 45, 47, 48, 49, 51, 53, 55, 56, 57, 59, 60, 61, 63, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 80, 81, 83, 85, 87, 89, 92, 93, 94, 95, 97, 99, 100 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Catalan's conjecture (now a theorem) is that 1 occurs just once as a difference, between 8 and 9. LINKS Table of n, a(n) for n=1..73. Alf van der Poorten, Remarks on the sequence of 'perfect' powers CROSSREFS Cf. A001597, A023057. Cf. A189117 (conjectured number of pairs of consecutive perfect powers differing by n). Sequence in context: A047595 A079298 A263715 * A359528 A359908 A230872 Adjacent sequences: A023052 A023053 A023054 * A023056 A023057 A023058 KEYWORD nonn,hard AUTHOR David W. Wilson STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 29 20:17 EDT 2023. Contains 365777 sequences. (Running on oeis4.)