What is the 8664th prime number?
The 8664th prime number is 89477. The next prime is 89491 (a gap of 14) and the one before is 89459.
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 8664th one is 89477.
- 2
89477 is prime because no prime up to ā89477 ā 299.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8664th prime is close to 8664 Ć ln(8664) ā 78556, and here it is 89477.
- 4
89477 has no twin: neither 89475 nor 89479 is prime.
Primes around the 8664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
| 8667 | 89513 | 12 |
Questions
What is the 8664th prime number?
89477.
Which prime number is 89477?
89477 is the 8664th prime number.
What is the sum of the first 8664 primes?
366,530,357.