What is the 8663rd prime number?
The 8663rd prime number is 89459. The next prime is 89477 (a gap of 18) and the one before is 89449.
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 8663rd one is 89459.
- 2
89459 is prime because no prime up to ā89459 ā 299.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8663rd prime is close to 8663 Ć ln(8663) ā 78546, and here it is 89459.
- 4
89459 has no twin: neither 89457 nor 89461 is prime.
Primes around the 8663rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
| 8666 | 89501 | 10 |
Questions
What is the 8663rd prime number?
89459.
Which prime number is 89459?
89459 is the 8663rd prime number.
What is the sum of the first 8663 primes?
366,440,880.