What is the 8820th prime number?
The 8820th prime number is 91193. The next prime is 91199 (a gap of 6) and the one before is 91183.
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 8820th one is 91193.
- 2
91193 is prime because no prime up to ā91193 ā 301.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8820th prime is close to 8820 Ć ln(8820) ā 80128, and here it is 91193.
- 4
91193 has no twin: neither 91191 nor 91195 is prime.
Primes around the 8820th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8817 | 91159 | 6 |
| 8818 | 91163 | 4 |
| 8819 | 91183 | 20 |
| 8820 | 91193 | 10 |
| 8821 | 91199 | 6 |
| 8822 | 91229 | 30 |
| 8823 | 91237 | 8 |
Questions
What is the 8820th prime number?
91193.
Which prime number is 91193?
91193 is the 8820th prime number.
What is the sum of the first 8820 primes?
380,619,173.