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The least value of x, for which the expression x2+x+17 will not give a prime number, is
7
11
13
17
For x = 7, the expression becomes 72+7+17 = 73 which is a prime number. For x = 11, the expression becomes 112+11+17 = 149 which is again a prime number. For x = 13,the expression becomes 132+13+17 = 199 which is again a prime number. For x = 17, the expression is surely a composite number because then 17 can be taken common from all the terms. Hence it will be divisible by 17. Hence the least value of x for which the expression is not a prime number is x = 17.
By: Amit Kumar ProfileResourcesReport error
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