What is the 582nd prime number?
The 582nd prime number is 4243. The next prime is 4253 (a gap of 10) and the one before is 4241.
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 582nd one is 4243.
- 2
4243 is prime because no prime up to ā4243 ā 65.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 582nd prime is close to 582 Ć ln(582) ā 3705, and here it is 4243.
- 4
4243 is a twin prime: 4241 and 4243 are both prime.
Primes around the 582nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 579 | 4229 | 10 |
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
| 582 | 4243 | 2 |
| 583 | 4253 | 10 |
| 584 | 4259 | 6 |
| 585 | 4261 | 2 |
Questions
What is the 582nd prime number?
4243.
Which prime number is 4243?
4243 is the 582nd prime number.
What is the sum of the first 582 primes?
1,145,267.