What is the 9056th prime number?
The 9056th prime number is 93887. The next prime is 93889 (a gap of 2) and the one before is 93871.
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 9056th one is 93887.
- 2
93887 is prime because no prime up to ā93887 ā 306.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9056th prime is close to 9056 Ć ln(9056) ā 82511, and here it is 93887.
- 4
93887 is a twin prime: 93887 and 93889 are both prime.
Primes around the 9056th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9053 | 93827 | 16 |
| 9054 | 93851 | 24 |
| 9055 | 93871 | 20 |
| 9056 | 93887 | 16 |
| 9057 | 93889 | 2 |
| 9058 | 93893 | 4 |
| 9059 | 93901 | 8 |
Questions
What is the 9056th prime number?
93887.
Which prime number is 93887?
93887 is the 9056th prime number.
What is the sum of the first 9056 primes?
402,455,435.