What is the 1598th prime number?
The 1598th prime number is 13477. The next prime is 13487 (a gap of 10) and the one before is 13469.
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 1598th one is 13477.
- 2
13477 is prime because no prime up to ā13477 ā 116.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1598th prime is close to 1598 Ć ln(1598) ā 11788, and here it is 13477.
- 4
13477 has no twin: neither 13475 nor 13479 is prime.
Primes around the 1598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1595 | 13457 | 6 |
| 1596 | 13463 | 6 |
| 1597 | 13469 | 6 |
| 1598 | 13477 | 8 |
| 1599 | 13487 | 10 |
| 1600 | 13499 | 12 |
| 1601 | 13513 | 14 |
Questions
What is the 1598th prime number?
13477.
Which prime number is 13477?
13477 is the 1598th prime number.
What is the sum of the first 1598 primes?
10,072,203.