What is the 1793rd prime number?
The 1793rd prime number is 15349. The next prime is 15359 (a gap of 10) and the one before is 15331.
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 1793rd one is 15349.
- 2
15349 is prime because no prime up to ā15349 ā 123.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1793rd prime is close to 1793 Ć ln(1793) ā 13433, and here it is 15349.
- 4
15349 has no twin: neither 15347 nor 15351 is prime.
Primes around the 1793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
| 1794 | 15359 | 10 |
| 1795 | 15361 | 2 |
| 1796 | 15373 | 12 |
Questions
What is the 1793rd prime number?
15349.
Which prime number is 15349?
15349 is the 1793rd prime number.
What is the sum of the first 1793 primes?
12,888,346.