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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step-by-step explanation:

range =5

step-by-step explanation:

to find the range, we take the largest value and subtract the smallest value.

the largest value is 5

the smallest value is 0

the range is 5-0   =5

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

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