What is the 8198th prime number?
The 8198th prime number is 84089. The next prime is 84121 (a gap of 32) and the one before is 84067.
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 8198th one is 84089.
- 2
84089 is prime because no prime up to ā84089 ā 289.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8198th prime is close to 8198 Ć ln(8198) ā 73877, and here it is 84089.
- 4
84089 has no twin: neither 84087 nor 84091 is prime.
Primes around the 8198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
Questions
What is the 8198th prime number?
84089.
Which prime number is 84089?
84089 is the 8198th prime number.
What is the sum of the first 8198 primes?
326,094,491.