What is the 2032nd prime number?
The 2032nd prime number is 17683. The next prime is 17707 (a gap of 24) and the one before is 17681.
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 2032nd one is 17683.
- 2
17683 is prime because no prime up to ā17683 ā 132.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2032nd prime is close to 2032 Ć ln(2032) ā 15477, and here it is 17683.
- 4
17683 is a twin prime: 17681 and 17683 are both prime.
Primes around the 2032nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2029 | 17659 | 2 |
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
Questions
What is the 2032nd prime number?
17683.
Which prime number is 17683?
17683 is the 2032nd prime number.
What is the sum of the first 2032 primes?
16,835,779.