What is the 4725th prime number?
The 4725th prime number is 45587. The next prime is 45589 (a gap of 2) and the one before is 45569.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4725th one is 45587.
- 2
45587 is prime because no prime up to ā45587 ā 213.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4725th prime is close to 4725 Ć ln(4725) ā 39976, and here it is 45587.
- 4
45587 is a twin prime: 45587 and 45589 are both prime.
Primes around the 4725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4722 | 45553 | 12 |
| 4723 | 45557 | 4 |
| 4724 | 45569 | 12 |
| 4725 | 45587 | 18 |
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
Questions
What is the 4725th prime number?
45587.
Which prime number is 45587?
45587 is the 4725th prime number.
What is the sum of the first 4725 primes?
101,498,612.