4

Part of 1995 Argentina National Olympiad

Problems(1)

min n= sum of 9 consecutives, 10 consecutices, 11 consecutives

Source: Argentina 1995 OMA L3 p4

Find the smallest natural number that is the sum of

9

consecutive natural numbers, is the sum of

10

consecutive natural numbers and is also the sum of

11

consecutive natural numbers.

number theoryconsecutive