What is the 8716th prime number?
The 8716th prime number is 90011. The next prime is 90017 (a gap of 6) and the one before is 90007.
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 8716th one is 90011.
- 2
90011 is prime because no prime up to ā90011 ā 300.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8716th prime is close to 8716 Ć ln(8716) ā 79080, and here it is 90011.
- 4
90011 has no twin: neither 90009 nor 90013 is prime.
Primes around the 8716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8713 | 89989 | 6 |
| 8714 | 90001 | 12 |
| 8715 | 90007 | 6 |
| 8716 | 90011 | 4 |
| 8717 | 90017 | 6 |
| 8718 | 90019 | 2 |
| 8719 | 90023 | 4 |
Questions
What is the 8716th prime number?
90011.
Which prime number is 90011?
90011 is the 8716th prime number.
What is the sum of the first 8716 primes?
371,197,333.