What is the 1798th prime number?
The 1798th prime number is 15383. The next prime is 15391 (a gap of 8) and the one before is 15377.
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 1798th one is 15383.
- 2
15383 is prime because no prime up to ā15383 ā 124.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1798th prime is close to 1798 Ć ln(1798) ā 13475, and here it is 15383.
- 4
15383 has no twin: neither 15381 nor 15385 is prime.
Primes around the 1798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
| 1801 | 15413 | 12 |
Questions
What is the 1798th prime number?
15383.
Which prime number is 15383?
15383 is the 1798th prime number.
What is the sum of the first 1798 primes?
12,965,199.