What is the 1687th prime number?
The 1687th prime number is 14401. The next prime is 14407 (a gap of 6) and the one before is 14389.
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 1687th one is 14401.
- 2
14401 is prime because no prime up to ā14401 ā 120.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1687th prime is close to 1687 Ć ln(1687) ā 12536, and here it is 14401.
- 4
14401 has no twin: neither 14399 nor 14403 is prime.
Primes around the 1687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1684 | 14369 | 22 |
| 1685 | 14387 | 18 |
| 1686 | 14389 | 2 |
| 1687 | 14401 | 12 |
| 1688 | 14407 | 6 |
| 1689 | 14411 | 4 |
| 1690 | 14419 | 8 |
Questions
What is the 1687th prime number?
14401.
Which prime number is 14401?
14401 is the 1687th prime number.
What is the sum of the first 1687 primes?
11,311,614.