What is the 3313th prime number?
The 3313th prime number is 30707. The next prime is 30713 (a gap of 6) and the one before is 30703.
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 3313th one is 30707.
- 2
30707 is prime because no prime up to ā30707 ā 175.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3313th prime is close to 3313 Ć ln(3313) ā 26854, and here it is 30707.
- 4
30707 has no twin: neither 30705 nor 30709 is prime.
Primes around the 3313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
Questions
What is the 3313th prime number?
30707.
Which prime number is 30707?
30707 is the 3313th prime number.
What is the sum of the first 3313 primes?
47,739,864.