What is the 1791st prime number?
The 1791st prime number is 15329. The next prime is 15331 (a gap of 2) and the one before is 15319.
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 1791st one is 15329.
- 2
15329 is prime because no prime up to ā15329 ā 123.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1791st prime is close to 1791 Ć ln(1791) ā 13416, and here it is 15329.
- 4
15329 is a twin prime: 15329 and 15331 are both prime.
Primes around the 1791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1788 | 15307 | 8 |
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
Questions
What is the 1791st prime number?
15329.
Which prime number is 15329?
15329 is the 1791st prime number.
What is the sum of the first 1791 primes?
12,857,666.