What is the 939th prime number?
The 939th prime number is 7393. The next prime is 7411 (a gap of 18) and the one before is 7369.
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 939th one is 7393.
- 2
7393 is prime because no prime up to ā7393 ā 85.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 939th prime is close to 939 Ć ln(939) ā 6427, and here it is 7393.
- 4
7393 has no twin: neither 7391 nor 7395 is prime.
Primes around the 939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 936 | 7349 | 16 |
| 937 | 7351 | 2 |
| 938 | 7369 | 18 |
| 939 | 7393 | 24 |
| 940 | 7411 | 18 |
| 941 | 7417 | 6 |
| 942 | 7433 | 16 |
Questions
What is the 939th prime number?
7393.
Which prime number is 7393?
7393 is the 939th prime number.
What is the sum of the first 939 primes?
3,215,976.