Problem #PRU-21988

Problems Number Theory Numeral systems Decimal number system Divisibility Division with remainders. Arithmetic of remainders Division with remainder Methods Pigeonhole principle Pigeonhole principle (other)
 12–14  3.0

Problem

Prove that amongst numbers written only using the number 1, i.e.: 1, 11, 111, etc, there is a number than is divisible by 1987.