What is the 3392nd prime number?
The 3392nd prime number is 31517. The next prime is 31531 (a gap of 14) and the one before is 31513.
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 3392nd one is 31517.
- 2
31517 is prime because no prime up to ā31517 ā 177.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3392nd prime is close to 3392 Ć ln(3392) ā 27574, and here it is 31517.
- 4
31517 has no twin: neither 31515 nor 31519 is prime.
Primes around the 3392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3389 | 31489 | 8 |
| 3390 | 31511 | 22 |
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
Questions
What is the 3392nd prime number?
31517.
Which prime number is 31517?
31517 is the 3392nd prime number.
What is the sum of the first 3392 primes?
50,197,885.