What is the 579th prime number?
The 579th prime number is 4229. The next prime is 4231 (a gap of 2) and the one before is 4219.
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 579th one is 4229.
- 2
4229 is prime because no prime up to ā4229 ā 65.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 579th prime is close to 579 Ć ln(579) ā 3683, and here it is 4229.
- 4
4229 is a twin prime: 4229 and 4231 are both prime.
Primes around the 579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 576 | 4211 | 10 |
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
| 582 | 4243 | 2 |
Questions
What is the 579th prime number?
4229.
Which prime number is 4229?
4229 is the 579th prime number.
What is the sum of the first 579 primes?
1,132,552.