What is the 8417th prime number?
The 8417th prime number is 86561. The next prime is 86573 (a gap of 12) and the one before is 86539.
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 8417th one is 86561.
- 2
86561 is prime because no prime up to ā86561 ā 294.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8417th prime is close to 8417 Ć ln(8417) ā 76073, and here it is 86561.
- 4
86561 has no twin: neither 86559 nor 86563 is prime.
Primes around the 8417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8414 | 86531 | 22 |
| 8415 | 86533 | 2 |
| 8416 | 86539 | 6 |
| 8417 | 86561 | 22 |
| 8418 | 86573 | 12 |
| 8419 | 86579 | 6 |
| 8420 | 86587 | 8 |
Questions
What is the 8417th prime number?
86561.
Which prime number is 86561?
86561 is the 8417th prime number.
What is the sum of the first 8417 primes?
344,783,558.