What is the 1589th prime number?
The 1589th prime number is 13399. The next prime is 13411 (a gap of 12) and the one before is 13397.
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 1589th one is 13399.
- 2
13399 is prime because no prime up to ā13399 ā 115.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1589th prime is close to 1589 Ć ln(1589) ā 11712, and here it is 13399.
- 4
13399 is a twin prime: 13397 and 13399 are both prime.
Primes around the 1589th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1586 | 13367 | 28 |
| 1587 | 13381 | 14 |
| 1588 | 13397 | 16 |
| 1589 | 13399 | 2 |
| 1590 | 13411 | 12 |
| 1591 | 13417 | 6 |
| 1592 | 13421 | 4 |
Questions
What is the 1589th prime number?
13399.
Which prime number is 13399?
13399 is the 1589th prime number.
What is the sum of the first 1589 primes?
9,951,196.