123 is a peculiar integer, because 1+2+3=1*2*3. 1412 is also peculiar, since 1+4+1+2=1*4*1*2.
A simple question: are there infinitely many such numbers?
A not so simple question: if so, are there such numbers for ANY number of digits?
(In reply to re: With a program
by Federico Kereki)
Indeed, with this program:
FOR a = 1 TO 9
FOR b = a TO 9
FOR c = b TO 9
FOR d = c TO 9
FOR e = d TO 9
p = a * b * c * d * e
dig = p - (a + b + c + d + e) + 5
IF dig > 10 AND dig < 30 THEN
LOCATE 1, (dig - 10) * 4
no 24-digit number is found. The place on the screen reserved for 24 is empty.
Posted by Charlie
on 2006-08-21 22:32:07