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All Evens (Posted on 2024-10-30)

Let n be an integer greater than 1.

If all digits of 1996*n are even, then find the smallest possible value of n.

No Solution Yet Submitted by K Sengupta

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Computer Solution

Comment 2 of 2 |

The smallest value for n is 333.

333 * 1996 = 664668

If there were the additional constraint that n be composed of only evens then:

444 * 1996 = 886224

-----------

odds = '13579'

for n in range(1,10000000):

s = str(1996*n)

fail = False

for digit in odds:

if digit in s:

fail = True

break

if fail:

continue

print(n,1996*n)

break

Posted by Larry on 2024-10-30 09:59:24

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