What is the 8413th prime number?
The 8413th prime number is 86509. The next prime is 86531 (a gap of 22) and the one before is 86501.
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 8413th one is 86509.
- 2
86509 is prime because no prime up to ā86509 ā 294.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8413th prime is close to 8413 Ć ln(8413) ā 76033, and here it is 86509.
- 4
86509 has no twin: neither 86507 nor 86511 is prime.
Primes around the 8413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8410 | 86477 | 10 |
| 8411 | 86491 | 14 |
| 8412 | 86501 | 10 |
| 8413 | 86509 | 8 |
| 8414 | 86531 | 22 |
| 8415 | 86533 | 2 |
| 8416 | 86539 | 6 |
Questions
What is the 8413th prime number?
86509.
Which prime number is 86509?
86509 is the 8413th prime number.
What is the sum of the first 8413 primes?
344,437,394.