What is the 5958th prime number?
The 5958th prime number is 58943. The next prime is 58963 (a gap of 20) and the one before is 58937.
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 5958th one is 58943.
- 2
58943 is prime because no prime up to ā58943 ā 242.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5958th prime is close to 5958 Ć ln(5958) ā 51790, and here it is 58943.
- 4
58943 has no twin: neither 58941 nor 58945 is prime.
Primes around the 5958th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5955 | 58913 | 4 |
| 5956 | 58921 | 8 |
| 5957 | 58937 | 16 |
| 5958 | 58943 | 6 |
| 5959 | 58963 | 20 |
| 5960 | 58967 | 4 |
| 5961 | 58979 | 12 |
Questions
What is the 5958th prime number?
58943.
Which prime number is 58943?
58943 is the 5958th prime number.
What is the sum of the first 5958 primes?
165,964,655.