What is the 4726th prime number?
The 4726th prime number is 45589. The next prime is 45599 (a gap of 10) and the one before is 45587.
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 4726th one is 45589.
- 2
45589 is prime because no prime up to ā45589 ā 213.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4726th prime is close to 4726 Ć ln(4726) ā 39986, and here it is 45589.
- 4
45589 is a twin prime: 45587 and 45589 are both prime.
Primes around the 4726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4723 | 45557 | 4 |
| 4724 | 45569 | 12 |
| 4725 | 45587 | 18 |
| 4726 | 45589 | 2 |
| 4727 | 45599 | 10 |
| 4728 | 45613 | 14 |
| 4729 | 45631 | 18 |
Questions
What is the 4726th prime number?
45589.
Which prime number is 45589?
45589 is the 4726th prime number.
What is the sum of the first 4726 primes?
101,544,201.