Yes. The only time this occurs is right at the start of the list of primes: 2, 3.
Chat with our AI personalities
Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.
There are no two consecutive primes whose sum, difference, product or quotient is 56.However, there may be some non-standard binary operation such that two primes can be combined to make 56.
The only two consecutive numbers that are both prime are 2 and 3. Since there are no other even prime numbers (other than 2), there are no more pairs of consecutive prime numbers. Therefore, the term "twin primes" usually refers to pairs of prime numbers that are 2 numbers apart. Examples are (3, 5), (5, 7), (11, 13), (101, 103), and many others more. It is not currently know whether there are infinitely many twin primes.
Because the definition of twin primes is: two prime numbers with a difference of 2. 3 and 5 are both prime numbers, and their difference is 5 - 3 = 2 → they are twin primes.
The numbers, 2 and 5, are co-primes because they both have just two factors, 1 and themselves.