# Who proved PNT?

## Who proved PNT?

The PNT was proved independently, and essentially simultaneously, by Jacques Hadamard and Charles de la Vallée Poussin at the end of the 19th century. The proofs of Hadamard and de la Vallée Poussin both used an analytic approach that had its roots in the work of Riemann some 50 years earlier.

How many primes are left?

There are 8 prime numbers under 20: 2, 3, 5, 7, 11, 13, 17 and 19. The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. There are 25 prime numbers between 1 and 100. Prime numbers can continue well past 100.

Why is the number 1729 special?

1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – a cube of 10 is 1000 and a cube of 9 is 729; adding the two numbers results in 1729.

### What is the largest prime number known today?

Currently, the largest known prime number is 282,589,933−1. This prime, along with the previous seven largest primes to be discovered, are known as Mersenne primes, named after the French mathematician Marin Mersenne (1588–1648).

What does it mean to be in the prime of your life?

The best years of one’s life, when one is at the peak of one’s powers, as in She was in the prime of life when she began to lose her sight. The related phrase in one’s prime can be applied to objects as well as persons. For example, The roses were in their prime when you last saw them.

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