Find the smallest whole number N such that N contains all of the digits from 0 through 9, and N
2 contains all of the digit pairs 00, 11, 22, ..., 99.
Determine all the numbers formed by three different and non-zero digits, such that the six numbers obtained by
permuting these digits leaves the same remainder after the division by 4.
Arrange the integers from 1 to N in an order such that the sum of any two consecutive terms is a power of 2.
For what values of N do solutions exist?
Solve:
FOR = I x WAS
where
W, A, and
S represent consecutive digits.
Find all positive integers x such that ⌊x/5⌋-⌊x/7⌋=1.
