What is the 5938th prime number?
The 5938th prime number is 58693. The next prime is 58699 (a gap of 6) and the one before is 58687.
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 5938th one is 58693.
- 2
58693 is prime because no prime up to ā58693 ā 242.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5938th prime is close to 5938 Ć ln(5938) ā 51596, and here it is 58693.
- 4
58693 has no twin: neither 58691 nor 58695 is prime.
Primes around the 5938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5935 | 58661 | 4 |
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
Questions
What is the 5938th prime number?
58693.
Which prime number is 58693?
58693 is the 5938th prime number.
What is the sum of the first 5938 primes?
164,788,129.