What is the 1682nd prime number?
The 1682nd prime number is 14341. The next prime is 14347 (a gap of 6) and the one before is 14327.
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 1682nd one is 14341.
- 2
14341 is prime because no prime up to ā14341 ā 119.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1682nd prime is close to 1682 Ć ln(1682) ā 12493, and here it is 14341.
- 4
14341 has no twin: neither 14339 nor 14343 is prime.
Primes around the 1682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
| 1684 | 14369 | 22 |
| 1685 | 14387 | 18 |
Questions
What is the 1682nd prime number?
14341.
Which prime number is 14341?
14341 is the 1682nd prime number.
What is the sum of the first 1682 primes?
11,239,721.