What is the 8666th prime number?
The 8666th prime number is 89501. The next prime is 89513 (a gap of 12) and the one before is 89491.
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 8666th one is 89501.
- 2
89501 is prime because no prime up to ā89501 ā 299.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8666th prime is close to 8666 Ć ln(8666) ā 78576, and here it is 89501.
- 4
89501 has no twin: neither 89499 nor 89503 is prime.
Primes around the 8666th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
| 8668 | 89519 | 6 |
| 8669 | 89521 | 2 |
Questions
What is the 8666th prime number?
89501.
Which prime number is 89501?
89501 is the 8666th prime number.
What is the sum of the first 8666 primes?
366,709,349.