What is the 935th prime number?
The 935th prime number is 7333. The next prime is 7349 (a gap of 16) and the one before is 7331.
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 935th one is 7333.
- 2
7333 is prime because no prime up to ā7333 ā 85.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 935th prime is close to 935 Ć ln(935) ā 6396, and here it is 7333.
- 4
7333 is a twin prime: 7331 and 7333 are both prime.
Primes around the 935th
| Position | Prime | Gap from the previous |
|---|---|---|
| 932 | 7309 | 2 |
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
| 935 | 7333 | 2 |
| 936 | 7349 | 16 |
| 937 | 7351 | 2 |
| 938 | 7369 | 18 |
Questions
What is the 935th prime number?
7333.
Which prime number is 7333?
7333 is the 935th prime number.
What is the sum of the first 935 primes?
3,186,514.