What is the 1800th prime number?
The 1800th prime number is 15401. The next prime is 15413 (a gap of 12) and the one before is 15391.
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 1800th one is 15401.
- 2
15401 is prime because no prime up to ā15401 ā 124.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1800th prime is close to 1800 Ć ln(1800) ā 13492, and here it is 15401.
- 4
15401 has no twin: neither 15399 nor 15403 is prime.
Primes around the 1800th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
| 1802 | 15427 | 14 |
| 1803 | 15439 | 12 |
Questions
What is the 1800th prime number?
15401.
Which prime number is 15401?
15401 is the 1800th prime number.
What is the sum of the first 1800 primes?
12,995,991.