What is the 5932nd prime number?
The 5932nd prime number is 58613. The next prime is 58631 (a gap of 18) and the one before is 58603.
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 5932nd one is 58613.
- 2
58613 is prime because no prime up to ā58613 ā 242.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5932nd prime is close to 5932 Ć ln(5932) ā 51538, and here it is 58613.
- 4
58613 has no twin: neither 58611 nor 58615 is prime.
Primes around the 5932nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5929 | 58579 | 6 |
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
Questions
What is the 5932nd prime number?
58613.
Which prime number is 58613?
58613 is the 5932nd prime number.
What is the sum of the first 5932 primes?
164,436,121.