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No. If you multiply two odd numbers (all prime numbers except for 2 are odd) together, you will get an odd number. If you add one, then you will have an even number, which is divisible by two. For example, 13 x 11 + 1 = 144.

However, you can get a Prime number, if you do a calculation such as 2 x 3 +1, which is 7

2 x 3 x 5 x 7 x 11 x 13 + 1 = 30031 = 59 x 509

while 2 x 3 + 1 = 7 is a prime number, 2 x 3 x 5 + 1 = 31 is a prime number, 2 x 3 x 5 x 7 + 1 = 211 is a prime number and 2 x 3 x 5 x 7 x 11 + 1 = 2311 is a prime number

So 13 is the first prime number where you cannot generate a next prime number this way.

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Q: When you multiply prime numbers and add one to the total do you always end up with a prime number?
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