What is the 9058th prime number?
The 9058th prime number is 93893. The next prime is 93901 (a gap of 8) and the one before is 93889.
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 9058th one is 93893.
- 2
93893 is prime because no prime up to ā93893 ā 306.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9058th prime is close to 9058 Ć ln(9058) ā 82531, and here it is 93893.
- 4
93893 has no twin: neither 93891 nor 93895 is prime.
Primes around the 9058th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9055 | 93871 | 20 |
| 9056 | 93887 | 16 |
| 9057 | 93889 | 2 |
| 9058 | 93893 | 4 |
| 9059 | 93901 | 8 |
| 9060 | 93911 | 10 |
| 9061 | 93913 | 2 |
Questions
What is the 9058th prime number?
93893.
Which prime number is 93893?
93893 is the 9058th prime number.
What is the sum of the first 9058 primes?
402,643,217.