What is the 8384th prime number?
The 8384th prime number is 86243. The next prime is 86249 (a gap of 6) and the one before is 86239.
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 8384th one is 86243.
- 2
86243 is prime because no prime up to ā86243 ā 293.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8384th prime is close to 8384 Ć ln(8384) ā 75742, and here it is 86243.
- 4
86243 has no twin: neither 86241 nor 86245 is prime.
Primes around the 8384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
| 8384 | 86243 | 4 |
| 8385 | 86249 | 6 |
| 8386 | 86257 | 8 |
| 8387 | 86263 | 6 |
Questions
What is the 8384th prime number?
86243.
Which prime number is 86243?
86243 is the 8384th prime number.
What is the sum of the first 8384 primes?
341,932,607.