Determine all possible value(s) of a positive integer x such that the base ten number 14....4 is a perfect square, where the digit 4 is repeated precisely x times.
(In reply to
re: computer explorationpossible solution (spoiler) by Harry)
Indeed such a search finds no solutions for b < 1000
list
10 for B=1 to 1000
20 P=(B*B)@2000
30 if P=444 then print B
40 next
OK
run
OK

Posted by Charlie
on 20090830 01:49:39 