What is the 8312th prime number?
The 8312th prime number is 85381. The next prime is 85411 (a gap of 30) and the one before is 85369.
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 8312th one is 85381.
- 2
85381 is prime because no prime up to ā85381 ā 292.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8312th prime is close to 8312 Ć ln(8312) ā 75020, and here it is 85381.
- 4
85381 has no twin: neither 85379 nor 85383 is prime.
Primes around the 8312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8309 | 85361 | 28 |
| 8310 | 85363 | 2 |
| 8311 | 85369 | 6 |
| 8312 | 85381 | 12 |
| 8313 | 85411 | 30 |
| 8314 | 85427 | 16 |
| 8315 | 85429 | 2 |
Questions
What is the 8312th prime number?
85381.
Which prime number is 85381?
85381 is the 8312th prime number.
What is the sum of the first 8312 primes?
335,753,903.