What is the 1790th prime number?
The 1790th prime number is 15319. The next prime is 15329 (a gap of 10) and the one before is 15313.
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 1790th one is 15319.
- 2
15319 is prime because no prime up to ā15319 ā 123.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1790th prime is close to 1790 Ć ln(1790) ā 13407, and here it is 15319.
- 4
15319 has no twin: neither 15317 nor 15321 is prime.
Primes around the 1790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1787 | 15299 | 10 |
| 1788 | 15307 | 8 |
| 1789 | 15313 | 6 |
| 1790 | 15319 | 6 |
| 1791 | 15329 | 10 |
| 1792 | 15331 | 2 |
| 1793 | 15349 | 18 |
Questions
What is the 1790th prime number?
15319.
Which prime number is 15319?
15319 is the 1790th prime number.
What is the sum of the first 1790 primes?
12,842,337.