What is the 5933rd prime number?
The 5933rd prime number is 58631. The next prime is 58657 (a gap of 26) and the one before is 58613.
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 5933rd one is 58631.
- 2
58631 is prime because no prime up to ā58631 ā 242.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5933rd prime is close to 5933 Ć ln(5933) ā 51548, and here it is 58631.
- 4
58631 has no twin: neither 58629 nor 58633 is prime.
Primes around the 5933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5930 | 58601 | 22 |
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
Questions
What is the 5933rd prime number?
58631.
Which prime number is 58631?
58631 is the 5933rd prime number.
What is the sum of the first 5933 primes?
164,494,752.