What is the 1597th prime number?
The 1597th prime number is 13469. The next prime is 13477 (a gap of 8) and the one before is 13463.
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 1597th one is 13469.
- 2
13469 is prime because no prime up to ā13469 ā 116.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1597th prime is close to 1597 Ć ln(1597) ā 11779, and here it is 13469.
- 4
13469 has no twin: neither 13467 nor 13471 is prime.
Primes around the 1597th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1594 | 13451 | 10 |
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
Questions
What is the 1597th prime number?
13469.
Which prime number is 13469?
13469 is the 1597th prime number.
What is the sum of the first 1597 primes?
10,058,726.