What is the 1600th prime number?
The 1600th prime number is 13499. The next prime is 13513 (a gap of 14) and the one before is 13487.
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 1600th one is 13499.
- 2
13499 is prime because no prime up to ā13499 ā 116.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1600th prime is close to 1600 Ć ln(1600) ā 11804, and here it is 13499.
- 4
13499 has no twin: neither 13497 nor 13501 is prime.
Primes around the 1600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
| 1602 | 13523 | 10 |
| 1603 | 13537 | 14 |
Questions
What is the 1600th prime number?
13499.
Which prime number is 13499?
13499 is the 1600th prime number.
What is the sum of the first 1600 primes?
10,099,189.