What is the 583rd prime number?
The 583rd prime number is 4253. The next prime is 4259 (a gap of 6) and the one before is 4243.
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 583rd one is 4253.
- 2
4253 is prime because no prime up to ā4253 ā 65.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 583rd prime is close to 583 Ć ln(583) ā 3713, and here it is 4253.
- 4
4253 has no twin: neither 4251 nor 4255 is prime.
Primes around the 583rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 580 | 4231 | 2 |
| 581 | 4241 | 10 |
| 582 | 4243 | 2 |
| 583 | 4253 | 10 |
| 584 | 4259 | 6 |
| 585 | 4261 | 2 |
| 586 | 4271 | 10 |
Questions
What is the 583rd prime number?
4253.
Which prime number is 4253?
4253 is the 583rd prime number.
What is the sum of the first 583 primes?
1,149,520.