What is the 8382nd prime number?
The 8382nd prime number is 86209. The next prime is 86239 (a gap of 30) and the one before is 86201.
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 8382nd one is 86209.
- 2
86209 is prime because no prime up to ā86209 ā 293.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8382nd prime is close to 8382 Ć ln(8382) ā 75722, and here it is 86209.
- 4
86209 has no twin: neither 86207 nor 86211 is prime.
Primes around the 8382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8379 | 86183 | 4 |
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
| 8384 | 86243 | 4 |
| 8385 | 86249 | 6 |
Questions
What is the 8382nd prime number?
86209.
Which prime number is 86209?
86209 is the 8382nd prime number.
What is the sum of the first 8382 primes?
341,760,125.