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If (2p + 1) is a prime number, which one of the following digits could be the value of p?



Sagot :

The digit that could be the value of P is 2

Complete question

If (2^p + 1) is a prime number, which one of the following digits could be the value of p?

A. 2

B. 3

C. 5

D. 6

How to determine the possible value of P?

The expression is given as:

2^p + 1

Next, we make use of the options to determine which value of p results giving the equation a prime value.

So, we have:

A. p = 2

2^2 + 1= 5 ---- prime number

B. p = 3

2^3 + 1= 9 --- composite number

C. p = 5

2^5 + 1= 33 --- composite number

D. p = 6

2^6 + 1= 65 --- composite number

Hence, the digit that could be the value of P is 2

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