Grades 11-12 Video Solutions 2023-2023_11-12

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Video Summary

The problem defines a "2 prime" integer as a positive integer that has exactly three divisors: 1, 2, and the integer itself. By analyzing the factors of such a number, it is determined that the number must be in the form \( n = 2k \) and satisfy specific conditions to limit its divisors to these three. After examination, it is concluded that the only integer meeting these conditions is 4. Therefore, there is only one 2 prime integer, and the answer is 1.

Keywords

2 prime

integer

divisors

number theory

unique solution