What is the 8381st prime number?
The 8381st prime number is 86201. The next prime is 86209 (a gap of 8) and the one before is 86197.
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 8381st one is 86201.
- 2
86201 is prime because no prime up to ā86201 ā 293.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8381st prime is close to 8381 Ć ln(8381) ā 75712, and here it is 86201.
- 4
86201 has no twin: neither 86199 nor 86203 is prime.
Primes around the 8381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8378 | 86179 | 8 |
| 8379 | 86183 | 4 |
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
| 8384 | 86243 | 4 |
Questions
What is the 8381st prime number?
86201.
Which prime number is 86201?
86201 is the 8381st prime number.
What is the sum of the first 8381 primes?
341,673,916.