What is the 1795th prime number?
The 1795th prime number is 15361. The next prime is 15373 (a gap of 12) and the one before is 15359.
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 1795th one is 15361.
- 2
15361 is prime because no prime up to ā15361 ā 123.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1795th prime is close to 1795 Ć ln(1795) ā 13450, and here it is 15361.
- 4
15361 is a twin prime: 15359 and 15361 are both prime.
Primes around the 1795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
| 1798 | 15383 | 6 |
Questions
What is the 1795th prime number?
15361.
Which prime number is 15361?
15361 is the 1795th prime number.
What is the sum of the first 1795 primes?
12,919,066.