What is the 8658th prime number?
The 8658th prime number is 89413. The next prime is 89417 (a gap of 4) and the one before is 89399.
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 8658th one is 89413.
- 2
89413 is prime because no prime up to ā89413 ā 299.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8658th prime is close to 8658 Ć ln(8658) ā 78495, and here it is 89413.
- 4
89413 has no twin: neither 89411 nor 89415 is prime.
Primes around the 8658th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8655 | 89387 | 6 |
| 8656 | 89393 | 6 |
| 8657 | 89399 | 6 |
| 8658 | 89413 | 14 |
| 8659 | 89417 | 4 |
| 8660 | 89431 | 14 |
| 8661 | 89443 | 12 |
Questions
What is the 8658th prime number?
89413.
Which prime number is 89413?
89413 is the 8658th prime number.
What is the sum of the first 8658 primes?
365,993,681.