What is the 8314th prime number?
The 8314th prime number is 85427. The next prime is 85429 (a gap of 2) and the one before is 85411.
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 8314th one is 85427.
- 2
85427 is prime because no prime up to ā85427 ā 292.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8314th prime is close to 8314 Ć ln(8314) ā 75040, and here it is 85427.
- 4
85427 is a twin prime: 85427 and 85429 are both prime.
Primes around the 8314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8311 | 85369 | 6 |
| 8312 | 85381 | 12 |
| 8313 | 85411 | 30 |
| 8314 | 85427 | 16 |
| 8315 | 85429 | 2 |
| 8316 | 85439 | 10 |
| 8317 | 85447 | 8 |
Questions
What is the 8314th prime number?
85427.
Which prime number is 85427?
85427 is the 8314th prime number.
What is the sum of the first 8314 primes?
335,924,741.