Problem 52

Description

It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.

Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.

Solution

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def solution():

    for i in range(1, 1000000):
        a = str(i * 2)
        b = str(i * 3)
        c = str(i * 4)
        d = str(i * 5)
        e = str(i * 6)
        if (
            sorted(a) == sorted(b)
            and sorted(a) == sorted(c)
            and sorted(a) == sorted(d)
            and sorted(a) == sorted(e)
        ):
            return i

Summary

It limit the number range to one billion.

five numbers:

  • $142857$
  • $285714$
  • $428751$
  • $571428$
  • $857142$