Mathematics, 31.12.2021 05:50 cmucutie1

For each positive integer n, define S(n) to be the smallest positive integer divisible by each of the positive integers 1, 2, 3, . . . , n. For example, S(5) =
60. How many positive integers n are there such that 1 ≤ n ≤ 100 and
S(n) = S(n + 4)?

Answers: 2

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For each positive integer n, define S(n) to be the smallest positive integer divisible by each of the positive integers 1, 2, 3, . . . , n. For example, S(5) = 60. How many positive integers n are there such that 1 ≤ n ≤ 100 and S(n) = S(n + 4)?

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Another question on Mathematics

For each positive integer n, define S(n) to be the smallest positive integer divisible by each of the positive integers 1, 2, 3, . . . , n. For example, S(5) =
60. How many positive integers n are there such that 1 ≤ n ≤ 100 and
S(n) = S(n + 4)?