What is the 5940th prime number?
The 5940th prime number is 58711. The next prime is 58727 (a gap of 16) and the one before is 58699.
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 5940th one is 58711.
- 2
58711 is prime because no prime up to ā58711 ā 242.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5940th prime is close to 5940 Ć ln(5940) ā 51615, and here it is 58711.
- 4
58711 has no twin: neither 58709 nor 58713 is prime.
Primes around the 5940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5937 | 58687 | 8 |
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
Questions
What is the 5940th prime number?
58711.
Which prime number is 58711?
58711 is the 5940th prime number.
What is the sum of the first 5940 primes?
164,905,539.