What is the 8821st prime number?
The 8821st prime number is 91199. The next prime is 91229 (a gap of 30) and the one before is 91193.
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 8821st one is 91199.
- 2
91199 is prime because no prime up to ā91199 ā 301.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8821st prime is close to 8821 Ć ln(8821) ā 80138, and here it is 91199.
- 4
91199 has no twin: neither 91197 nor 91201 is prime.
Primes around the 8821st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8818 | 91163 | 4 |
| 8819 | 91183 | 20 |
| 8820 | 91193 | 10 |
| 8821 | 91199 | 6 |
| 8822 | 91229 | 30 |
| 8823 | 91237 | 8 |
| 8824 | 91243 | 6 |
Questions
What is the 8821st prime number?
91199.
Which prime number is 91199?
91199 is the 8821st prime number.
What is the sum of the first 8821 primes?
380,710,372.