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n = not sum of 2 or more consecutive natural numbers

Source: 2011 Portugal (OPM) p6

May 20, 2024
number theoryconsecutive

Problem Statement

The number 10001000 can be written as the sum of 1616 consecutive natural numbers: 1000=55+56+...+70.1000 = 55 + 56 + ... + 70. Determines all natural numbers that cannot be written as the sum of two or more consecutive natural numbers .