What is the 9059th prime number?
The 9059th prime number is 93901. The next prime is 93911 (a gap of 10) and the one before is 93893.
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 9059th one is 93901.
- 2
93901 is prime because no prime up to ā93901 ā 306.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9059th prime is close to 9059 Ć ln(9059) ā 82541, and here it is 93901.
- 4
93901 has no twin: neither 93899 nor 93903 is prime.
Primes around the 9059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9056 | 93887 | 16 |
| 9057 | 93889 | 2 |
| 9058 | 93893 | 4 |
| 9059 | 93901 | 8 |
| 9060 | 93911 | 10 |
| 9061 | 93913 | 2 |
| 9062 | 93923 | 10 |
Questions
What is the 9059th prime number?
93901.
Which prime number is 93901?
93901 is the 9059th prime number.
What is the sum of the first 9059 primes?
402,737,118.