What is the 3315th prime number?
The 3315th prime number is 30727. The next prime is 30757 (a gap of 30) and the one before is 30713.
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 3315th one is 30727.
- 2
30727 is prime because no prime up to ā30727 ā 175.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3315th prime is close to 3315 Ć ln(3315) ā 26872, and here it is 30727.
- 4
30727 has no twin: neither 30725 nor 30729 is prime.
Primes around the 3315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3312 | 30703 | 6 |
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
Questions
What is the 3315th prime number?
30727.
Which prime number is 30727?
30727 is the 3315th prime number.
What is the sum of the first 3315 primes?
47,801,304.