What is the 8412th prime number?
The 8412th prime number is 86501. The next prime is 86509 (a gap of 8) and the one before is 86491.
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 8412th one is 86501.
- 2
86501 is prime because no prime up to ā86501 ā 294.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8412th prime is close to 8412 Ć ln(8412) ā 76023, and here it is 86501.
- 4
86501 has no twin: neither 86499 nor 86503 is prime.
Primes around the 8412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8409 | 86467 | 6 |
| 8410 | 86477 | 10 |
| 8411 | 86491 | 14 |
| 8412 | 86501 | 10 |
| 8413 | 86509 | 8 |
| 8414 | 86531 | 22 |
| 8415 | 86533 | 2 |
Questions
What is the 8412th prime number?
86501.
Which prime number is 86501?
86501 is the 8412th prime number.
What is the sum of the first 8412 primes?
344,350,885.