Prime Numbers

# What is the only prime number that is the sum of four consecutive prime numbers?

17 is the only Prime number that is the sum of four consecutive prime numbers. 2 + 3 + 5 + 7 = 17

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## Related Questions

The next four prime numbers greater than 31 are 37, 41, 43, and 47.

The four consecutive prime numbers that add up to 220 are: 47+53+59+61 = 220

There are no four consecutive whole numbers that add up to 35. The sum of two consecutive [whole] numbers is an even number plus an odd number which is an odd number. The sum of two consecutive numbers and the two next consecutive numbers is the sum of two odd numbers which is even, but 35 is odd, so no four consecutive whole numbers cannot add up to 35.

No. The sum of four consecutive integers is two odd numbers plus two even numbers which is an even number. 2001 is an odd number, therefore it cannot be the sum of four consecutive numbers.

the least number is 210 which is divisible by four different prime numbers.

There is no set of four consecutive numbers with a product of 182. There is a set of four consecutive numbers with a sumof 182: 9, 20, 21 and 22.

There are four consecutive 3-digit numbers with a sum of 2,494: 622, 623, 624 and 625.

The smallest number divisible by first four prime numbers is 2x3x5x7 = 210.

A prime number times a prime number is a composite number. Since prime numbers, except for 2, are odd numbers, a prime number times a prime number is usually an odd number. It will only be an even number if one of the prime numbers is 2. A prime number times a prime number will be a number with four factors unless both prime numbers are the same, in which case it will be a square number with only three factors.

Because the four smallest prime numbers are 2, 3, 5, and 7. If you multiply these four together you get 210 (which makes 210 the smallest number divisible by four unique prime numbers).

84 is not a prime. All numbers ending in four are composite.

2 * 3 * 5 * 7 = 210 is the smallest one divisible by four unique prime numbers. However, there are an infinite number of them, since there are an infinite number of primes.

The first four prime numbers are 2, 3, 5, and 7. The product of these numbers is 210.

Although not specified as such, "consecutive" requires the numbers to be integers. Two pairs literally means four numbers but there are not four consecutive integers that add up to to 5280. 1318 + 1319 + 1320 + 1321 = 5278 and 1319 + 1320 + 1321 + 1322 = 5282. Four consecutive numbers must add up to an even number that is not a multiple of 4. If by two pairs, the question meant ONE pair (!!), again there is no answer since the sum of any pair of consecutive numbers must be an odd number.

There are no such numbers. If S is the sum of any 4 consecutive integers then S = 2 (mod 4) In other words, any four consecutive integers add up to an even number that is NOT dvisible by 4.

39 is not a prime number because it has four factors: 1,3,13,39 and because prime number are numbers who has 2 factors.

2,3,5, and 7. i assume your question was "if four numbers sum up to 17, what are the numbers?"

Four consecutive numbers adding up to ten are: 1+2+3+4

The four consecutive numbers whose sum is 762 are 189, 190, 191 and 192.

This is impossible - no four consecutive integers add to 36.

No, sixty four (64) is a composite number (not a prime number) because it can be written as a product of numbers, specifically 8*8 (or 2^6).

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