### Why 35 and 7 are the only three consecutive odd prime numbers?

If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3. If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3. If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3. If you take three consecutive odd (or three consecutive…

### Why can't two consecutive whole numbers be prime?

In fact, they can. 2 and 3 are consecutive prime numbers. For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime. In fact, they can. 2 and 3 are consecutive prime numbers. For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime. In fact, they can. 2 and 3 are consecutive prime numbers. For larger numbers, one of two consecutive numbers…

### How many pairs of prime numbers are there which are consecutive odd integers?

There are an infinite number of prime numbers which are consecutive odd integers. Choose any natural number n. Take all primes up to any number n, take their product, and add 1 and subtract 1 from it. These 2 numbers are consecutive odd integers. eg 2*3*5*7 = 210 209 and 211 are primes which are consecutive odd integers.

### Can two consecutive numbers be prime?

Yes. Additional Information: If you have two consecutive numbers, one of them will be an odd number and the other will be an even number. Since even numbers are divisible by 2, the only even prime number is 2. If two consecutive numbers are prime, the even number must be 2. So, because 1 is not a prime number, the only time that two consecutive numbers can be prime is in the case of 2…

### Why is that there are no consecutive prime numbers?

2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So…

### What 3 consecutive odd numbers total 270?

The sum of two odd numbers is even and the sum of an even number and an odd number is odd. So the sum of three consecutive odd numbers is odd but 270 is even. Ergo there are no three consecutive odd numbers that sum to 270. Three consecutive numbers that sum to 270 are 89, 90, 91. Three consecutive even numbers that sum to 270 are 88, 90, 92.

### Why is 3 5 and 7 the only three consecutive odd prime numbers?

All even numbers greater than 2 are composite because they are all divisible by 2. Therefore, from 3 onwards, all prime numbers are odd. Consider three consecutive odd numbers. They must be of the form 2n+1, 2n+3 and 2n+5 where n is an integer. Since n is an integer, n will leave a remainder of 0, 1 or 2 when it is divided by 3. Suppose n leaves a remainder of 0 when divided by…

### What one-digit number is the product of two consecutive prime numbers?

There are only two prime numbers that are consecutive numbers, 2 and 3. Their product is 2 x 3 = 6. The first prime numbers are 2, 3, 5, and 7 and the only two consecutive prime numbers whose product is a single digit are 2 and 3. (The next two consecutive prime numbers, 3 and 5, have a two-digit product.)

### Why are 2 and 3 consecutive prime numbers?

A prime number is a number only divisible by 1 and itself, since nothing else goes into 2 but 1 and 2 and nothing goes into 3 but 1 and 3 they are both prime and since 3 goes after 2 they are consecutive And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30…

### Why are 2 and 3 the only consecutive prime numbers?

And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.