MathDB
2021 Spring LMT Division A Problem 23, B Problem 24

Source:

January 22, 2022
number theory

Problem Statement

A Haiku is a Japanese poem of seventeen syllables, in three lines of five, seven, and five.
A group of haikus Some have one syllable less Sixteen in total. The group of haikus Some have one syllable more Eighteen in total. What is the largest Total count of syllables That the group can’t have? (For instance, a group Sixteen, seventeen, eighteen Fifty-one total.) (Also, you can have No sixteen, no eighteen Syllable haikus)
Proposed by Jeff Lin