Olympiad Maths Prep

Track / Stage 4 / 115 of 340 #375 of 2000

Problem 375

AMC 12 late, AIME early
Number theory Difficulty 4.7 Find the answer

74. 2018 is the sum of 4 consecutive natural numbers, what is the largest number among them.

This one wants a proof. Work it on paper, read the official solution, then mark yourself honestly — the ladder only means something if the record is true.

Official solution

Reference answer: 506

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.