What is the 932nd prime number?
The 932nd prime number is 7309. The next prime is 7321 (a gap of 12) and the one before is 7307.
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 932nd one is 7309.
- 2
7309 is prime because no prime up to ā7309 ā 85.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 932nd prime is close to 932 Ć ln(932) ā 6372, and here it is 7309.
- 4
7309 is a twin prime: 7307 and 7309 are both prime.
Primes around the 932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 929 | 7283 | 30 |
| 930 | 7297 | 14 |
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
| 935 | 7333 | 2 |
Questions
What is the 932nd prime number?
7309.
Which prime number is 7309?
7309 is the 932nd prime number.
What is the sum of the first 932 primes?
3,164,529.