What is the 8408th prime number?
The 8408th prime number is 86461. The next prime is 86467 (a gap of 6) and the one before is 86453.
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 8408th one is 86461.
- 2
86461 is prime because no prime up to ā86461 ā 294.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8408th prime is close to 8408 Ć ln(8408) ā 75983, and here it is 86461.
- 4
86461 has no twin: neither 86459 nor 86463 is prime.
Primes around the 8408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8405 | 86423 | 10 |
| 8406 | 86441 | 18 |
| 8407 | 86453 | 12 |
| 8408 | 86461 | 8 |
| 8409 | 86467 | 6 |
| 8410 | 86477 | 10 |
| 8411 | 86491 | 14 |
Questions
What is the 8408th prime number?
86461.
Which prime number is 86461?
86461 is the 8408th prime number.
What is the sum of the first 8408 primes?
344,004,949.