What is the 394th prime number?
The 394th prime number is 2707. The next prime is 2711 (a gap of 4) and the one before is 2699.
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 394th one is 2707.
- 2
2707 is prime because no prime up to ā2707 ā 52.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 394th prime is close to 394 Ć ln(394) ā 2355, and here it is 2707.
- 4
2707 has no twin: neither 2705 nor 2709 is prime.
Primes around the 394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 391 | 2689 | 2 |
| 392 | 2693 | 4 |
| 393 | 2699 | 6 |
| 394 | 2707 | 8 |
| 395 | 2711 | 4 |
| 396 | 2713 | 2 |
| 397 | 2719 | 6 |
Questions
What is the 394th prime number?
2707.
Which prime number is 2707?
2707 is the 394th prime number.
What is the sum of the first 394 primes?
491,481.