What is the 8662nd prime number?
The 8662nd prime number is 89449. The next prime is 89459 (a gap of 10) and the one before is 89443.
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 8662nd one is 89449.
- 2
89449 is prime because no prime up to ā89449 ā 299.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8662nd prime is close to 8662 Ć ln(8662) ā 78536, and here it is 89449.
- 4
89449 has no twin: neither 89447 nor 89451 is prime.
Primes around the 8662nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8659 | 89417 | 4 |
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
| 8662 | 89449 | 6 |
| 8663 | 89459 | 10 |
| 8664 | 89477 | 18 |
| 8665 | 89491 | 14 |
Questions
What is the 8662nd prime number?
89449.
Which prime number is 89449?
89449 is the 8662nd prime number.
What is the sum of the first 8662 primes?
366,351,421.