What is the 933rd prime number?
The 933rd prime number is 7321. The next prime is 7331 (a gap of 10) and the one before is 7309.
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 933rd one is 7321.
- 2
7321 is prime because no prime up to ā7321 ā 85.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 933rd prime is close to 933 Ć ln(933) ā 6380, and here it is 7321.
- 4
7321 has no twin: neither 7319 nor 7323 is prime.
Primes around the 933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
| 935 | 7333 | 2 |
| 936 | 7349 | 16 |
Questions
What is the 933rd prime number?
7321.
Which prime number is 7321?
7321 is the 933rd prime number.
What is the sum of the first 933 primes?
3,171,850.