What is the 1399th prime number?
The 1399th prime number is 11633. The next prime is 11657 (a gap of 24) and the one before is 11621.
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 1399th one is 11633.
- 2
11633 is prime because no prime up to ā11633 ā 107.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1399th prime is close to 1399 Ć ln(1399) ā 10134, and here it is 11633.
- 4
11633 has no twin: neither 11631 nor 11635 is prime.
Primes around the 1399th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1396 | 11597 | 4 |
| 1397 | 11617 | 20 |
| 1398 | 11621 | 4 |
| 1399 | 11633 | 12 |
| 1400 | 11657 | 24 |
| 1401 | 11677 | 20 |
| 1402 | 11681 | 4 |
Questions
What is the 1399th prime number?
11633.
Which prime number is 11633?
11633 is the 1399th prime number.
What is the sum of the first 1399 primes?
7,572,912.