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

Updated: 12/23/2022

Wiki User

9y ago

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.

Wiki User

9y ago

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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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No, never.

That is correct.

### What type of numbers can you multiply to always find the LCM?

prime numbers, co-prime numbers

### If multiplying 2 prime numbers will the product always be prime?

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 why will the answer not be a prime number?

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.

### What are two prime numbers that you can multiply to get 167?

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

### What do you get when you multiply 2 prime numbers?

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

### What 3 prime numbers multiplied equal 1597?

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

### If you multiply two prime numbers will the answer be a prime number?

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

### Is sixteen a prime number and how?

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

### When is product of 2 prime numbers a prime number?

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