What is the 1699th prime number?
The 1699th prime number is 14503. The next prime is 14519 (a gap of 16) and the one before is 14489.
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 1699th one is 14503.
- 2
14503 is prime because no prime up to ā14503 ā 120.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1699th prime is close to 1699 Ć ln(1699) ā 12637, and here it is 14503.
- 4
14503 has no twin: neither 14501 nor 14505 is prime.
Primes around the 1699th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1696 | 14461 | 12 |
| 1697 | 14479 | 18 |
| 1698 | 14489 | 10 |
| 1699 | 14503 | 14 |
| 1700 | 14519 | 16 |
| 1701 | 14533 | 14 |
| 1702 | 14537 | 4 |
Questions
What is the 1699th prime number?
14503.
Which prime number is 14503?
14503 is the 1699th prime number.
What is the sum of the first 1699 primes?
11,484,970.