What is the 3683rd prime number?
The 3683rd prime number is 34483. The next prime is 34487 (a gap of 4) and the one before is 34471.
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 3683rd one is 34483.
- 2
34483 is prime because no prime up to ā34483 ā 185.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3683rd prime is close to 3683 Ć ln(3683) ā 30243, and here it is 34483.
- 4
34483 has no twin: neither 34481 nor 34485 is prime.
Primes around the 3683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3680 | 34457 | 18 |
| 3681 | 34469 | 12 |
| 3682 | 34471 | 2 |
| 3683 | 34483 | 12 |
| 3684 | 34487 | 4 |
| 3685 | 34499 | 12 |
| 3686 | 34501 | 2 |
Questions
What is the 3683rd prime number?
34483.
Which prime number is 34483?
34483 is the 3683rd prime number.
What is the sum of the first 3683 primes?
59,803,680.