What is the 936th prime number?
The 936th prime number is 7349. The next prime is 7351 (a gap of 2) and the one before is 7333.
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 936th one is 7349.
- 2
7349 is prime because no prime up to ā7349 ā 85.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 936th prime is close to 936 Ć ln(936) ā 6404, and here it is 7349.
- 4
7349 is a twin prime: 7349 and 7351 are both prime.
Primes around the 936th
| Position | Prime | Gap from the previous |
|---|---|---|
| 933 | 7321 | 12 |
| 934 | 7331 | 10 |
| 935 | 7333 | 2 |
| 936 | 7349 | 16 |
| 937 | 7351 | 2 |
| 938 | 7369 | 18 |
| 939 | 7393 | 24 |
Questions
What is the 936th prime number?
7349.
Which prime number is 7349?
7349 is the 936th prime number.
What is the sum of the first 936 primes?
3,193,863.