What is the 1792nd prime number?
The 1792nd prime number is 15331. The next prime is 15349 (a gap of 18) and the one before is 15329.
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 1792nd one is 15331.
- 2
15331 is prime because no prime up to ā15331 ā 123.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1792nd prime is close to 1792 Ć ln(1792) ā 13424, and here it is 15331.
- 4
15331 is a twin prime: 15329 and 15331 are both prime.
Primes around the 1792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
Questions
What is the 1792nd prime number?
15331.
Which prime number is 15331?
15331 is the 1792nd prime number.
What is the sum of the first 1792 primes?
12,872,997.