What is the 8385th prime number?
The 8385th prime number is 86249. The next prime is 86257 (a gap of 8) and the one before is 86243.
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 8385th one is 86249.
- 2
86249 is prime because no prime up to ā86249 ā 293.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8385th prime is close to 8385 Ć ln(8385) ā 75752, and here it is 86249.
- 4
86249 has no twin: neither 86247 nor 86251 is prime.
Primes around the 8385th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
| 8384 | 86243 | 4 |
| 8385 | 86249 | 6 |
| 8386 | 86257 | 8 |
| 8387 | 86263 | 6 |
| 8388 | 86269 | 6 |
Questions
What is the 8385th prime number?
86249.
Which prime number is 86249?
86249 is the 8385th prime number.
What is the sum of the first 8385 primes?
342,018,856.