What is the 8201st prime number?
The 8201st prime number is 84131. The next prime is 84137 (a gap of 6) and the one before is 84127.
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 8201st one is 84131.
- 2
84131 is prime because no prime up to ā84131 ā 290.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8201st prime is close to 8201 Ć ln(8201) ā 73908, and here it is 84131.
- 4
84131 has no twin: neither 84129 nor 84133 is prime.
Primes around the 8201st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
| 8201 | 84131 | 4 |
| 8202 | 84137 | 6 |
| 8203 | 84143 | 6 |
| 8204 | 84163 | 20 |
Questions
What is the 8201st prime number?
84131.
Which prime number is 84131?
84131 is the 8201st prime number.
What is the sum of the first 8201 primes?
326,346,870.