What is the 1690th prime number?
The 1690th prime number is 14419. The next prime is 14423 (a gap of 4) and the one before is 14411.
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 1690th one is 14419.
- 2
14419 is prime because no prime up to ā14419 ā 120.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1690th prime is close to 1690 Ć ln(1690) ā 12561, and here it is 14419.
- 4
14419 has no twin: neither 14417 nor 14421 is prime.
Primes around the 1690th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1687 | 14401 | 12 |
| 1688 | 14407 | 6 |
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
| 1691 | 14423 | 4 |
| 1692 | 14431 | 8 |
| 1693 | 14437 | 6 |
Questions
What is the 1690th prime number?
14419.
Which prime number is 14419?
14419 is the 1690th prime number.
What is the sum of the first 1690 primes?
11,354,851.