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# Is consecutive natural numbers are always relatively prime?

Updated: 10/23/2022

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8y ago

Yes.

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8y ago

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Q: Is consecutive natural numbers are always relatively prime?
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Yes.

### Why can two consecutive numbers be relately prime?

A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.

### 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 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.

### 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 even) numbers, one of the three will always be a multiple of 3.

### How do you make 92 with consecutive numbers?

Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.

### Is the sum of two consecutive numbers always divisible by 2?

No, the sum of two consecutive numbers is always an odd number, and is not divisible by two.

### What any two consecutive numbers add up to make 12?

Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.

### What is always the sum of three consecutive whole numbers?

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.

### When you have a consecutive numbers will the mean and median always be the same?

If there are an odd # of consecutive numbers, they will. If there are an even # of numbers, the mean will be halfway between the two medians.

### What are two consecutive numbers that add up to 600?

The sum of consecutive integers will always be odd. Consecutive odd numbers will be even. 299 + 301 = 600

### Will the product of 3 consecutive numbers always be even?

Yes because at least one of the consecutive numbers will be even, and if you times anything by an even number, the answer will always be even

### What is the greatest common factor of two consecutive numbers?

The GCF of two consecutive numbers is always 1. The GCF of any set of numbers can't be greater than the smallest of the differences between the numbers.