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Suppose \(x\) is the product of all the primes less than or equal to \(59.\) How many primes appear in the set

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by M7MBA » Fri Jul 24, 2020 7:44 am

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Suppose \(x\) is the product of all the primes less than or equal to \(59.\) How many primes appear in the set \(\{x + 2, x + 3, x + 4,\ldots, x + 59\}?\)

A. 0
B. 17
C. 18
D. 23
E. 24

[spoiler]OA=A[/spoiler]

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Re: Suppose \(x\) is the product of all the primes less than or equal to \(59.\) How many primes appear in the set

by sahilaro23 » Fri Jul 24, 2020 11:21 am
Let's take a smaller example of n = 6
x = product of all primes less than 10 = 2x3x5 = 30

How many primes appear in the set : (x+2, x+3, x+4, x+5, x+6)

put value of x, set = (33, 34, 35, 36) - no prime number.
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