What is the 1799th prime number?
The 1799th prime number is 15391. The next prime is 15401 (a gap of 10) and the one before is 15383.
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 1799th one is 15391.
- 2
15391 is prime because no prime up to ā15391 ā 124.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1799th prime is close to 1799 Ć ln(1799) ā 13483, and here it is 15391.
- 4
15391 has no twin: neither 15389 nor 15393 is prime.
Primes around the 1799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
Questions
What is the 1799th prime number?
15391.
Which prime number is 15391?
15391 is the 1799th prime number.
What is the sum of the first 1799 primes?
12,980,590.