What is the 8342nd prime number?
The 8342nd prime number is 85711. The next prime is 85717 (a gap of 6) and the one before is 85703.
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 8342nd one is 85711.
- 2
85711 is prime because no prime up to ā85711 ā 292.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8342nd prime is close to 8342 Ć ln(8342) ā 75320, and here it is 85711.
- 4
85711 has no twin: neither 85709 nor 85713 is prime.
Primes around the 8342nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8339 | 85669 | 2 |
| 8340 | 85691 | 22 |
| 8341 | 85703 | 12 |
| 8342 | 85711 | 8 |
| 8343 | 85717 | 6 |
| 8344 | 85733 | 16 |
| 8345 | 85751 | 18 |
Questions
What is the 8342nd prime number?
85711.
Which prime number is 85711?
85711 is the 8342nd prime number.
What is the sum of the first 8342 primes?
338,320,753.