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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180139 a(n)=A179387(n)+1 1
 4, 6, 33, 36, 38, 64, 66, 137, 569, 5216, 367807, 939788, 6369040, 7885439, 9536130, 140292678, 184151167, 890838664, 912903446, 3171881613 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Theorem (*Artur Jasinski*): For any positive number x >= A180139(n) distance between cube of x and square of any y (such that x<>n^2 and y<>n^3) can't be less than A179386(n+1). Proof: Because number of integral points of each Mordell elliptic curve of the form x^3-y^2 = k is finite and completely computable, such x can't exist. If x=n^2 and y=n^3 distance d=0. For d values see A179386. For y values see A179388. LINKS Table of n, a(n) for n=1..20. EXAMPLE For numbers x from 4 to infinity distance can't be less than 4. For numbers x from 6 to infinity distance can't be less than 7. For numbers x from 33 to infinity distance can't be less than 26. For numbers x from 36 to infinity distance can't be less than 28. For numbers x from 38 to infinity distance can't be less than 49. For numbers x from 66 to infinity distance can't be less than 60. For numbers x from 137 to infinity distance can't be less than 63. For numbers x from 569 to infinity distance can't be less than 174. For numbers x from 5216 to infinity distance can't be less than 207. For numbers x from 367807 to infinity distance can't be less than 307. CROSSREFS Cf. A179107, A179108, A179109, A179387, A179388 Sequence in context: A229712 A331513 A164127 * A222490 A071394 A137021 Adjacent sequences: A180136 A180137 A180138 * A180140 A180141 A180142 KEYWORD hard,more,nonn AUTHOR Artur Jasinski, Aug 12 2010 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 9 18:08 EDT 2024. Contains 375765 sequences. (Running on oeis4.)