Determine the value of the smallest positive integer N such that N^{1/N} contains precisely one zero immediately following the decimal point.
Too easy?
How about seven zeroes, then?
(In reply to
re(2): computer assisted solution,,,a question by Ady TZIDON)
Ady,
I believe I know :) The series I obtained is:
{39,652,9124,116678,1416368,16626518,190660035,2148818406,23897019597,262952388206,2868480351123,...}
I don't pretend to have checked them all by doing the necessary sums!
Edited on December 5, 2014, 1:30 am

Posted by broll
on 20141205 00:37:57 