What is the 9055th prime number?
The 9055th prime number is 93871. The next prime is 93887 (a gap of 16) and the one before is 93851.
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 9055th one is 93871.
- 2
93871 is prime because no prime up to ā93871 ā 306.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9055th prime is close to 9055 Ć ln(9055) ā 82501, and here it is 93871.
- 4
93871 has no twin: neither 93869 nor 93873 is prime.
Primes around the 9055th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9052 | 93811 | 2 |
| 9053 | 93827 | 16 |
| 9054 | 93851 | 24 |
| 9055 | 93871 | 20 |
| 9056 | 93887 | 16 |
| 9057 | 93889 | 2 |
| 9058 | 93893 | 4 |
Questions
What is the 9055th prime number?
93871.
Which prime number is 93871?
93871 is the 9055th prime number.
What is the sum of the first 9055 primes?
402,361,548.