What is the 9052nd prime number?
The 9052nd prime number is 93811. The next prime is 93827 (a gap of 16) and the one before is 93809.
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 9052nd one is 93811.
- 2
93811 is prime because no prime up to ā93811 ā 306.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9052nd prime is close to 9052 Ć ln(9052) ā 82470, and here it is 93811.
- 4
93811 is a twin prime: 93809 and 93811 are both prime.
Primes around the 9052nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9049 | 93763 | 2 |
| 9050 | 93787 | 24 |
| 9051 | 93809 | 22 |
| 9052 | 93811 | 2 |
| 9053 | 93827 | 16 |
| 9054 | 93851 | 24 |
| 9055 | 93871 | 20 |
Questions
What is the 9052nd prime number?
93811.
Which prime number is 93811?
93811 is the 9052nd prime number.
What is the sum of the first 9052 primes?
402,079,999.