f (2p + 1) is a prime number, which one of the following digits could be the value of p?3456Clear selection
Question
f (2p + 1) is a prime number, which one of the following digits could be the value of p?
3456
Clear selection
Solution
The question is asking for a digit (0-9) that, when substituted for p in the expression 2p + 1, results in a prime number. A prime number is a number that has exactly two distinct positive divisors: 1 and itself.
Let's test each digit:
- If p = 3, then 2p + 1 = 2*3 + 1 = 7, which is a prime number.
- If p = 4, then 2p + 1 = 2*4 + 1 = 9, which is not a prime number.
- If p = 5, then 2p + 1 = 2*5 + 1 = 11, which is a prime number.
- If p = 6, then 2p + 1 = 2*6 + 1 = 13, which is a prime number.
So, the digits that could be the value of p are 3, 5, and 6.
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