What is the 8383rd prime number?
The 8383rd prime number is 86239. The next prime is 86243 (a gap of 4) and the one before is 86209.
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 8383rd one is 86239.
- 2
86239 is prime because no prime up to ā86239 ā 293.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8383rd prime is close to 8383 Ć ln(8383) ā 75732, and here it is 86239.
- 4
86239 has no twin: neither 86237 nor 86241 is prime.
Primes around the 8383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8380 | 86197 | 14 |
| 8381 | 86201 | 4 |
| 8382 | 86209 | 8 |
| 8383 | 86239 | 30 |
| 8384 | 86243 | 4 |
| 8385 | 86249 | 6 |
| 8386 | 86257 | 8 |
Questions
What is the 8383rd prime number?
86239.
Which prime number is 86239?
86239 is the 8383rd prime number.
What is the sum of the first 8383 primes?
341,846,364.