MathDB

1

Part of 2013 Hanoi Open Mathematics Competitions

Problems(2)

2013 as a sum of m primes, smallest m (HOMC 2013 J Q1)

Source:

7/25/2019
Write 20132013 as a sum of mm prime numbers. The smallest value of mm is:
(A): 22, (B): 33, (C): 44, (D): 11, (E): None of the above.
primesminimumnumber theory
3-digit perfect, increase by 1 each digit and remain perfect (HOMC 2013 Q1)

Source:

7/28/2019
How many three-digit perfect squares are there such that if each digit is increased by one, the resulting number is also a perfect square?
(A): 11, (B): 22, (C): 44, (D): 88, (E) None of the above.
number theoryPerfect Square