What is the 3316th prime number?
The 3316th prime number is 30757. The next prime is 30763 (a gap of 6) and the one before is 30727.
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 3316th one is 30757.
- 2
30757 is prime because no prime up to ā30757 ā 175.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3316th prime is close to 3316 Ć ln(3316) ā 26881, and here it is 30757.
- 4
30757 has no twin: neither 30755 nor 30759 is prime.
Primes around the 3316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3313 | 30707 | 4 |
| 3314 | 30713 | 6 |
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
Questions
What is the 3316th prime number?
30757.
Which prime number is 30757?
30757 is the 3316th prime number.
What is the sum of the first 3316 primes?
47,832,061.