What is the 5941st prime number?
The 5941st prime number is 58727. The next prime is 58733 (a gap of 6) and the one before is 58711.
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 5941st one is 58727.
- 2
58727 is prime because no prime up to ā58727 ā 242.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5941st prime is close to 5941 Ć ln(5941) ā 51625, and here it is 58727.
- 4
58727 has no twin: neither 58725 nor 58729 is prime.
Primes around the 5941st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5938 | 58693 | 6 |
| 5939 | 58699 | 6 |
| 5940 | 58711 | 12 |
| 5941 | 58727 | 16 |
| 5942 | 58733 | 6 |
| 5943 | 58741 | 8 |
| 5944 | 58757 | 16 |
Questions
What is the 5941st prime number?
58727.
Which prime number is 58727?
58727 is the 5941st prime number.
What is the sum of the first 5941 primes?
164,964,266.