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

An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.

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

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

An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.

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.

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

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

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.

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