What is the 580th prime number?
The 580th prime number is 4231. The next prime is 4241 (a gap of 10) and the one before is 4229.
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 580th one is 4231.
- 2
4231 is prime because no prime up to ā4231 ā 65.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 580th prime is close to 580 Ć ln(580) ā 3691, and here it is 4231.
- 4
4231 is a twin prime: 4229 and 4231 are both prime.
Primes around the 580th
| Position | Prime | Gap from the previous |
|---|---|---|
| 577 | 4217 | 6 |
| 578 | 4219 | 2 |
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
| 582 | 4243 | 2 |
| 583 | 4253 | 10 |
Questions
What is the 580th prime number?
4231.
Which prime number is 4231?
4231 is the 580th prime number.
What is the sum of the first 580 primes?
1,136,783.