What is the 1681st prime number?
The 1681st prime number is 14327. The next prime is 14341 (a gap of 14) and the one before is 14323.
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 1681st one is 14327.
- 2
14327 is prime because no prime up to ā14327 ā 119.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1681st prime is close to 1681 Ć ln(1681) ā 12485, and here it is 14327.
- 4
14327 has no twin: neither 14325 nor 14329 is prime.
Primes around the 1681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1678 | 14303 | 10 |
| 1679 | 14321 | 18 |
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
| 1684 | 14369 | 22 |
Questions
What is the 1681st prime number?
14327.
Which prime number is 14327?
14327 is the 1681st prime number.
What is the sum of the first 1681 primes?
11,225,380.