What is the 3393rd prime number?
The 3393rd prime number is 31531. The next prime is 31541 (a gap of 10) and the one before is 31517.
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 3393rd one is 31531.
- 2
31531 is prime because no prime up to ā31531 ā 177.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3393rd prime is close to 3393 Ć ln(3393) ā 27583, and here it is 31531.
- 4
31531 has no twin: neither 31529 nor 31533 is prime.
Primes around the 3393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
Questions
What is the 3393rd prime number?
31531.
Which prime number is 31531?
31531 is the 3393rd prime number.
What is the sum of the first 3393 primes?
50,229,416.