What is the 1797th prime number?
The 1797th prime number is 15377. The next prime is 15383 (a gap of 6) and the one before is 15373.
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 1797th one is 15377.
- 2
15377 is prime because no prime up to ā15377 ā 124.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1797th prime is close to 1797 Ć ln(1797) ā 13466, and here it is 15377.
- 4
15377 has no twin: neither 15375 nor 15379 is prime.
Primes around the 1797th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
| 1799 | 15391 | 8 |
| 1800 | 15401 | 10 |
Questions
What is the 1797th prime number?
15377.
Which prime number is 15377?
15377 is the 1797th prime number.
What is the sum of the first 1797 primes?
12,949,816.