What is the 3318th prime number?
The 3318th prime number is 30773. The next prime is 30781 (a gap of 8) and the one before is 30763.
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 3318th one is 30773.
- 2
30773 is prime because no prime up to ā30773 ā 175.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3318th prime is close to 3318 Ć ln(3318) ā 26899, and here it is 30773.
- 4
30773 has no twin: neither 30771 nor 30775 is prime.
Primes around the 3318th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3315 | 30727 | 14 |
| 3316 | 30757 | 30 |
| 3317 | 30763 | 6 |
| 3318 | 30773 | 10 |
| 3319 | 30781 | 8 |
| 3320 | 30803 | 22 |
| 3321 | 30809 | 6 |
Questions
What is the 3318th prime number?
30773.
Which prime number is 30773?
30773 is the 3318th prime number.
What is the sum of the first 3318 primes?
47,893,597.