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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

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.

216

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 first prime numbers are 2 and 3. Their sum is 5.

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

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

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

2, 3, 5, And 7 are the first 4 prime numbers

The first two prime numbers add up to another prime number.

The sum of the first 8 prime numbers is 77.

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 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

The Fundamental theorem of arithmetic.

The prime factors of 99 are 3 and 11. Their cubes are 27 and 1331.

The sum of the first two prime numbers is 5.

the answer is 120 because the first three prime numbers are 2,3,5 and the first three composite numbers are 4,6,8.

2,3,5,7

The first four Mersenne prime numbers are 2, 3, 5, and 7.