What is the 8200th prime number?
The 8200th prime number is 84127. The next prime is 84131 (a gap of 4) and the one before is 84121.
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 8200th one is 84127.
- 2
84127 is prime because no prime up to ā84127 ā 290.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8200th prime is close to 8200 Ć ln(8200) ā 73897, and here it is 84127.
- 4
84127 has no twin: neither 84125 nor 84129 is prime.
Primes around the 8200th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
Questions
What is the 8200th prime number?
84127.
Which prime number is 84127?
84127 is the 8200th prime number.
What is the sum of the first 8200 primes?
326,262,739.