What is the 5942nd prime number?
The 5942nd prime number is 58733. The next prime is 58741 (a gap of 8) and the one before is 58727.
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 5942nd one is 58733.
- 2
58733 is prime because no prime up to ā58733 ā 242.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5942nd prime is close to 5942 Ć ln(5942) ā 51635, and here it is 58733.
- 4
58733 has no twin: neither 58731 nor 58735 is prime.
Primes around the 5942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
Questions
What is the 5942nd prime number?
58733.
Which prime number is 58733?
58733 is the 5942nd prime number.
What is the sum of the first 5942 primes?
165,022,999.