What is the 8852nd prime number?
The 8852nd prime number is 91571. The next prime is 91573 (a gap of 2) and the one before is 91541.
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 8852nd one is 91571.
- 2
91571 is prime because no prime up to ā91571 ā 302.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8852nd prime is close to 8852 Ć ln(8852) ā 80451, and here it is 91571.
- 4
91571 is a twin prime: 91571 and 91573 are both prime.
Primes around the 8852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
| 8851 | 91541 | 12 |
| 8852 | 91571 | 30 |
| 8853 | 91573 | 2 |
| 8854 | 91577 | 4 |
| 8855 | 91583 | 6 |
Questions
What is the 8852nd prime number?
91571.
Which prime number is 91571?
91571 is the 8852nd prime number.
What is the sum of the first 8852 primes?
383,543,309.