Baxter-Hickerson Function
المؤلف:
Sloane, N. J. A.
المصدر:
Sequences A051832, A051833, and A052427 in "The On-Line Encyclopedia of Integer Sequences."
الجزء والصفحة:
...
9-11-2020
1225
Baxter-Hickerson Function
In April 1999, Ed Pegg conjectured on sci.math that there were only finitely many zerofree cubes, to which D. Hickerson responded with a counterexample. A few days later, Lew Baxter posted the slightly simpler example
which produces numbers whose cubes lack zeros. The first few terms for 
, 1, ... are 2, 64037, 6634003367, 666334000333667, ... (OEIS A052427). Primes occur for 
, 1, 7, 133, ... (OEIS A051832) with no others 
(Weisstein, pers. comm., 2002), corresponding to 2, 64037, 66666663333334000000033333336666667, ... (OEIS A051833).
REFERENCES:
Pegg, E. Jr. "Fun with Numbers." http://www.mathpuzzle.com/numbers.html.
Sloane, N. J. A. Sequences A051832, A051833, and A052427 in "The On-Line Encyclopedia of Integer Sequences."
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
