What is the 1794th prime number?
The 1794th prime number is 15359. The next prime is 15361 (a gap of 2) and the one before is 15349.
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 1794th one is 15359.
- 2
15359 is prime because no prime up to ā15359 ā 123.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1794th prime is close to 1794 Ć ln(1794) ā 13441, and here it is 15359.
- 4
15359 is a twin prime: 15359 and 15361 are both prime.
Primes around the 1794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
| 1797 | 15377 | 4 |
Questions
What is the 1794th prime number?
15359.
Which prime number is 15359?
15359 is the 1794th prime number.
What is the sum of the first 1794 primes?
12,903,705.