What is the 5934th prime number?
The 5934th prime number is 58657. The next prime is 58661 (a gap of 4) and the one before is 58631.
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 5934th one is 58657.
- 2
58657 is prime because no prime up to ā58657 ā 242.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5934th prime is close to 5934 Ć ln(5934) ā 51557, and here it is 58657.
- 4
58657 has no twin: neither 58655 nor 58659 is prime.
Primes around the 5934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5931 | 58603 | 2 |
| 5932 | 58613 | 10 |
| 5933 | 58631 | 18 |
| 5934 | 58657 | 26 |
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
Questions
What is the 5934th prime number?
58657.
Which prime number is 58657?
58657 is the 5934th prime number.
What is the sum of the first 5934 primes?
164,553,409.