What is the 934th prime number?
The 934th prime number is 7331. The next prime is 7333 (a gap of 2) and the one before is 7321.
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 934th one is 7331.
- 2
7331 is prime because no prime up to ā7331 ā 85.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 934th prime is close to 934 Ć ln(934) ā 6388, and here it is 7331.
- 4
7331 is a twin prime: 7331 and 7333 are both prime.
Primes around the 934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 931 | 7307 | 10 |
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
| 935 | 7333 | 2 |
| 936 | 7349 | 16 |
| 937 | 7351 | 2 |
Questions
What is the 934th prime number?
7331.
Which prime number is 7331?
7331 is the 934th prime number.
What is the sum of the first 934 primes?
3,179,181.