This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A179800 Values y for records of minima of positive distance d between a thirteenth power of positive integer x and a square of integer y such d = x^13 - y^2 (x<>k^2 and y<>k^13) 6
 90, 1262, 34938, 114283, 741455, 5875603, 17403307, 28172943, 709955183, 936209559, 10875326100, 25905378592, 35572991418, 55703353220, 110485434560, 182204642678, 447245502234, 984322154617, 2160608565081, 3477146726351 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Distance d is equal 0 when x = k^2 and y = k^13. For d values see A179798. For x values see A179799. Conjecture (*Artur Jasinski*): For any positive number x >= A179799(n) distance d between thirteenth power of x and square of any y (such that x<>k^2 and y<>k^13) can't be less than A179798(n). LINKS MATHEMATICA d = 13; max = 1000; vecd = Table[10^100, {n, 1, max}]; vecx = Table[10^100, {n, 1, max}]; vecy = Table[10^100, {n, 1, max}]; len = 1; Do[m = Floor[(n^d)^(1/2)]; k = n^d - m^2; If[k != 0, ile = 0; Do[If[vecd[[z]] < k, ile = ile + 1], {z, 1, len}]; len = ile + 1; vecd[[len]] = k; vecx[[len]] = n; vecy[[len]] = m], {n, 1, 10000000}]; dd = {}; xx = {}; yy = {}; Do[AppendTo[dd, vecd[[n]]]; AppendTo[xx, vecx[[n]]]; AppendTo[yy, vecy[[n]]], {n, 1, len}]; yy (*Artur Jasinski*) CROSSREFS Cf. A179107, A179108, A179109, A179386, A179387, A179388, A179407, A179408, A179784, A179785, A179786, A179790, A179791, A179792, A179793, A179794, A179795, A179798, A179799, A179800. Sequence in context: A008449 A213455 A155016 * A133350 A279438 A250869 Adjacent sequences:  A179797 A179798 A179799 * A179801 A179802 A179803 KEYWORD nonn AUTHOR Artur Jasinski, Jul 27 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 11 12:33 EST 2019. Contains 329916 sequences. (Running on oeis4.)