What is the 3312th prime number?
The 3312th prime number is 30703. The next prime is 30707 (a gap of 4) and the one before is 30697.
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 3312th one is 30703.
- 2
30703 is prime because no prime up to ā30703 ā 175.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3312th prime is close to 3312 Ć ln(3312) ā 26845, and here it is 30703.
- 4
30703 has no twin: neither 30701 nor 30705 is prime.
Primes around the 3312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3309 | 30677 | 6 |
| 3310 | 30689 | 12 |
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
Questions
What is the 3312th prime number?
30703.
Which prime number is 30703?
30703 is the 3312th prime number.
What is the sum of the first 3312 primes?
47,709,157.