What is the 8369th prime number?
The 8369th prime number is 86083. The next prime is 86111 (a gap of 28) and the one before is 86077.
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 8369th one is 86083.
- 2
86083 is prime because no prime up to ā86083 ā 293.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8369th prime is close to 8369 Ć ln(8369) ā 75591, and here it is 86083.
- 4
86083 has no twin: neither 86081 nor 86085 is prime.
Primes around the 8369th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8366 | 86029 | 2 |
| 8367 | 86069 | 40 |
| 8368 | 86077 | 8 |
| 8369 | 86083 | 6 |
| 8370 | 86111 | 28 |
| 8371 | 86113 | 2 |
| 8372 | 86117 | 4 |
Questions
What is the 8369th prime number?
86083.
Which prime number is 86083?
86083 is the 8369th prime number.
What is the sum of the first 8369 primes?
340,640,072.