What is the 1599th prime number?
The 1599th prime number is 13487. The next prime is 13499 (a gap of 12) and the one before is 13477.
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 1599th one is 13487.
- 2
13487 is prime because no prime up to ā13487 ā 116.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1599th prime is close to 1599 Ć ln(1599) ā 11796, and here it is 13487.
- 4
13487 has no twin: neither 13485 nor 13489 is prime.
Primes around the 1599th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
Questions
What is the 1599th prime number?
13487.
Which prime number is 13487?
13487 is the 1599th prime number.
What is the sum of the first 1599 primes?
10,085,690.