What is the 1579th prime number?
The 1579th prime number is 13297. The next prime is 13309 (a gap of 12) and the one before is 13291.
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 1579th one is 13297.
- 2
13297 is prime because no prime up to ā13297 ā 115.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1579th prime is close to 1579 Ć ln(1579) ā 11629, and here it is 13297.
- 4
13297 has no twin: neither 13295 nor 13299 is prime.
Primes around the 1579th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1576 | 13259 | 10 |
| 1577 | 13267 | 8 |
| 1578 | 13291 | 24 |
| 1579 | 13297 | 6 |
| 1580 | 13309 | 12 |
| 1581 | 13313 | 4 |
| 1582 | 13327 | 14 |
Questions
What is the 1579th prime number?
13297.
Which prime number is 13297?
13297 is the 1579th prime number.
What is the sum of the first 1579 primes?
9,817,696.