What is the 3314th prime number?
The 3314th prime number is 30713. The next prime is 30727 (a gap of 14) and the one before is 30707.
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 3314th one is 30713.
- 2
30713 is prime because no prime up to ā30713 ā 175.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3314th prime is close to 3314 Ć ln(3314) ā 26863, and here it is 30713.
- 4
30713 has no twin: neither 30711 nor 30715 is prime.
Primes around the 3314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3311 | 30697 | 8 |
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
Questions
What is the 3314th prime number?
30713.
Which prime number is 30713?
30713 is the 3314th prime number.
What is the sum of the first 3314 primes?
47,770,577.