What is the 8665th prime number?
The 8665th prime number is 89491. The next prime is 89501 (a gap of 10) and the one before is 89477.
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 8665th one is 89491.
- 2
89491 is prime because no prime up to ā89491 ā 299.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8665th prime is close to 8665 Ć ln(8665) ā 78566, and here it is 89491.
- 4
89491 has no twin: neither 89489 nor 89493 is prime.
Primes around the 8665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
| 8668 | 89519 | 6 |
Questions
What is the 8665th prime number?
89491.
Which prime number is 89491?
89491 is the 8665th prime number.
What is the sum of the first 8665 primes?
366,619,848.