What is the 1698th prime number?
The 1698th prime number is 14489. The next prime is 14503 (a gap of 14) and the one before is 14479.
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 1698th one is 14489.
- 2
14489 is prime because no prime up to ā14489 ā 120.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1698th prime is close to 1698 Ć ln(1698) ā 12628, and here it is 14489.
- 4
14489 has no twin: neither 14487 nor 14491 is prime.
Primes around the 1698th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1695 | 14449 | 2 |
| 1696 | 14461 | 12 |
| 1697 | 14479 | 18 |
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
| 1701 | 14533 | 14 |
Questions
What is the 1698th prime number?
14489.
Which prime number is 14489?
14489 is the 1698th prime number.
What is the sum of the first 1698 primes?
11,470,467.