What is the 5939th prime number?
The 5939th prime number is 58699. The next prime is 58711 (a gap of 12) and the one before is 58693.
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 5939th one is 58699.
- 2
58699 is prime because no prime up to ā58699 ā 242.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5939th prime is close to 5939 Ć ln(5939) ā 51606, and here it is 58699.
- 4
58699 has no twin: neither 58697 nor 58701 is prime.
Primes around the 5939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5936 | 58679 | 18 |
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
Questions
What is the 5939th prime number?
58699.
Which prime number is 58699?
58699 is the 5939th prime number.
What is the sum of the first 5939 primes?
164,846,828.