What is the 5943rd prime number?
The 5943rd prime number is 58741. The next prime is 58757 (a gap of 16) and the one before is 58733.
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 5943rd one is 58741.
- 2
58741 is prime because no prime up to ā58741 ā 242.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5943rd prime is close to 5943 Ć ln(5943) ā 51644, and here it is 58741.
- 4
58741 has no twin: neither 58739 nor 58743 is prime.
Primes around the 5943rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
| 5945 | 58763 | 6 |
| 5946 | 58771 | 8 |
Questions
What is the 5943rd prime number?
58741.
Which prime number is 58741?
58741 is the 5943rd prime number.
What is the sum of the first 5943 primes?
165,081,740.