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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.

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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3 x 5 = 15

When you multiply two prime numbers together they become factors of the number that they equal. Since the number will have factors other than 1 and itself, the number cannot be prime.

There are no such two prime numbers, as 167 is a prime number itself.

No, the answer is not going to be a prime number. For example, 2*3=6 which is not a prime number.

No. No matter how large of an example you choose, someone always can find a larger number (of any kind), because the upper range of number is infinite. If you take all the known prime numbers and multiply them together, then add 1 to the result, you will have a number that is not divisible by any of the known prime numbers. This number will either be prime or have prime factors that were not previously known. So, in this way, you can always find a new prime number or a number that is a multiple of new prime numbers. If the known prime numbers include all the prime numbers up to the largest known, the new ones must be larger.

Related questions

No, never.

That is correct.

prime numbers, co-prime numbers

If you multiply 2 prime numbers. the result will never be prime. A prime number is one that has no factors except itself and one. The number specified in the question has as factors the 2 prime numbers cited.

3 x 5 = 15

When you multiply two prime numbers together they become factors of the number that they equal. Since the number will have factors other than 1 and itself, the number cannot be prime.

There are no such two prime numbers, as 167 is a prime number itself.

A composite number. (If they are different numbers, keep in mind 1 is not a prime number)

1597 is a prime number. You cannot multiply prime numbers to create another prime number.

No, the answer is not going to be a prime number. For example, 2*3=6 which is not a prime number.

Yes, it is prime. A prime number means the only numbers you can multiply to get that number is 1 and itself.

The product of two prime numbers is always a composite number, and it never is a prime number.