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The sum of the first five prime numbers is 28.

The sum of the cubes of the first three prime numbers is 160.

The average of 28 and 160 is 94.

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Q: What is the arithmetic mean of the sum of the first five prime numbers and the sum of the cubes of the first three prime numbers?

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arithmetic progression

The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.

2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216

The first 26 prime numbers are :- 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97and 101

All prime numbers are odd, exept of the first prime number 2.

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arithmetic progression

Arithmetic can be written as two different products of prime numbers. haha

There is no simple answer because there is no simple rule for primes: it is certainly NOT an arithmetic progression.

The crucial importance of prime numbers to number theory and mathematics in general stems from the fundamental theorem of arithmetic.

according to the Fundamental theorem of Arithmetic all numbers can be written as a product of prime numbers. so 34= 2 x 17 both 2 and 17 are prime numbers

The fundamental theorem of arithmetic states that every integer greater than 1 is either a prime number or can be written as a product of prime numbers. In the latter case, the prime numbers are uniquely determined apart from the order in which they appear. The theorem is also known as the unique prime factorisation theorem - for obvious reasons.

The first three prime numbers are 2,3 and 5.

Squares (or cubes or more) of prime numbers have one distinct prime factor, but if you're counting them individually, all composite numbers have at least two prime factors.

2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216

the sum of the first 15 prime numbers is 328 .

The sum of the first 25 prime numbers is 1,060.

The sum of the first 250 prime numbers is 182,109.

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