What is the 3394th prime number?
The 3394th prime number is 31541. The next prime is 31543 (a gap of 2) and the one before is 31531.
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 3394th one is 31541.
- 2
31541 is prime because no prime up to ā31541 ā 177.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3394th prime is close to 3394 Ć ln(3394) ā 27592, and here it is 31541.
- 4
31541 is a twin prime: 31541 and 31543 are both prime.
Primes around the 3394th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3391 | 31513 | 2 |
| 3392 | 31517 | 4 |
| 3393 | 31531 | 14 |
| 3394 | 31541 | 10 |
| 3395 | 31543 | 2 |
| 3396 | 31547 | 4 |
| 3397 | 31567 | 20 |
Questions
What is the 3394th prime number?
31541.
Which prime number is 31541?
31541 is the 3394th prime number.
What is the sum of the first 3394 primes?
50,260,957.