What is the 8313th prime number?
The 8313th prime number is 85411. The next prime is 85427 (a gap of 16) and the one before is 85381.
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 8313th one is 85411.
- 2
85411 is prime because no prime up to ā85411 ā 292.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8313th prime is close to 8313 Ć ln(8313) ā 75030, and here it is 85411.
- 4
85411 has no twin: neither 85409 nor 85413 is prime.
Primes around the 8313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8310 | 85363 | 2 |
| 8311 | 85369 | 6 |
| 8312 | 85381 | 12 |
| 8313 | 85411 | 30 |
| 8314 | 85427 | 16 |
| 8315 | 85429 | 2 |
| 8316 | 85439 | 10 |
Questions
What is the 8313th prime number?
85411.
Which prime number is 85411?
85411 is the 8313th prime number.
What is the sum of the first 8313 primes?
335,839,314.