What is the 392nd prime number?
The 392nd prime number is 2693. The next prime is 2699 (a gap of 6) and the one before is 2689.
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 392nd one is 2693.
- 2
2693 is prime because no prime up to ā2693 ā 51.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 392nd prime is close to 392 Ć ln(392) ā 2341, and here it is 2693.
- 4
2693 has no twin: neither 2691 nor 2695 is prime.
Primes around the 392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 389 | 2683 | 6 |
| 390 | 2687 | 4 |
| 391 | 2689 | 2 |
| 392 | 2693 | 4 |
| 393 | 2699 | 6 |
| 394 | 2707 | 8 |
| 395 | 2711 | 4 |
Questions
What is the 392nd prime number?
2693.
Which prime number is 2693?
2693 is the 392nd prime number.
What is the sum of the first 392 primes?
486,075.