What is the 8439th prime number?
The 8439th prime number is 86857. The next prime is 86861 (a gap of 4) and the one before is 86851.
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 8439th one is 86857.
- 2
86857 is prime because no prime up to ā86857 ā 294.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8439th prime is close to 8439 Ć ln(8439) ā 76294, and here it is 86857.
- 4
86857 has no twin: neither 86855 nor 86859 is prime.
Primes around the 8439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8436 | 86837 | 24 |
| 8437 | 86843 | 6 |
| 8438 | 86851 | 8 |
| 8439 | 86857 | 6 |
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
Questions
What is the 8439th prime number?
86857.
Which prime number is 86857?
86857 is the 8439th prime number.
What is the sum of the first 8439 primes?
346,691,388.