What is the 8364th prime number?
The 8364th prime number is 86017. The next prime is 86027 (a gap of 10) and the one before is 86011.
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 8364th one is 86017.
- 2
86017 is prime because no prime up to ā86017 ā 293.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8364th prime is close to 8364 Ć ln(8364) ā 75541, and here it is 86017.
- 4
86017 has no twin: neither 86015 nor 86019 is prime.
Primes around the 8364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8361 | 85991 | 58 |
| 8362 | 85999 | 8 |
| 8363 | 86011 | 12 |
| 8364 | 86017 | 6 |
| 8365 | 86027 | 10 |
| 8366 | 86029 | 2 |
| 8367 | 86069 | 40 |
Questions
What is the 8364th prime number?
86017.
Which prime number is 86017?
86017 is the 8364th prime number.
What is the sum of the first 8364 primes?
340,209,787.