What is the 1683rd prime number?
The 1683rd prime number is 14347. The next prime is 14369 (a gap of 22) and the one before is 14341.
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 1683rd one is 14347.
- 2
14347 is prime because no prime up to ā14347 ā 119.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1683rd prime is close to 1683 Ć ln(1683) ā 12502, and here it is 14347.
- 4
14347 has no twin: neither 14345 nor 14349 is prime.
Primes around the 1683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1680 | 14323 | 2 |
| 1681 | 14327 | 4 |
| 1682 | 14341 | 14 |
| 1683 | 14347 | 6 |
| 1684 | 14369 | 22 |
| 1685 | 14387 | 18 |
| 1686 | 14389 | 2 |
Questions
What is the 1683rd prime number?
14347.
Which prime number is 14347?
14347 is the 1683rd prime number.
What is the sum of the first 1683 primes?
11,254,068.