What is the 2932nd prime number?
The 2932nd prime number is 26717. The next prime is 26723 (a gap of 6) and the one before is 26713.
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 2932nd one is 26717.
- 2
26717 is prime because no prime up to ā26717 ā 163.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2932nd prime is close to 2932 Ć ln(2932) ā 23407, and here it is 26717.
- 4
26717 has no twin: neither 26715 nor 26719 is prime.
Primes around the 2932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2929 | 26701 | 2 |
| 2930 | 26711 | 10 |
| 2931 | 26713 | 2 |
| 2932 | 26717 | 4 |
| 2933 | 26723 | 6 |
| 2934 | 26729 | 6 |
| 2935 | 26731 | 2 |
Questions
What is the 2932nd prime number?
26717.
Which prime number is 26717?
26717 is the 2932nd prime number.
What is the sum of the first 2932 primes?
36,804,575.