What is the 8343rd prime number?
The 8343rd prime number is 85717. The next prime is 85733 (a gap of 16) and the one before is 85711.
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 8343rd one is 85717.
- 2
85717 is prime because no prime up to ā85717 ā 292.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8343rd prime is close to 8343 Ć ln(8343) ā 75330, and here it is 85717.
- 4
85717 has no twin: neither 85715 nor 85719 is prime.
Primes around the 8343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
| 8343 | 85717 | 6 |
| 8344 | 85733 | 16 |
| 8345 | 85751 | 18 |
| 8346 | 85781 | 30 |
Questions
What is the 8343rd prime number?
85717.
Which prime number is 85717?
85717 is the 8343rd prime number.
What is the sum of the first 8343 primes?
338,406,470.