What is the 8719th prime number?
The 8719th prime number is 90023. The next prime is 90031 (a gap of 8) and the one before is 90019.
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 8719th one is 90023.
- 2
90023 is prime because no prime up to ā90023 ā 300.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8719th prime is close to 8719 Ć ln(8719) ā 79110, and here it is 90023.
- 4
90023 has no twin: neither 90021 nor 90025 is prime.
Primes around the 8719th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8716 | 90011 | 4 |
| 8717 | 90017 | 6 |
| 8718 | 90019 | 2 |
| 8719 | 90023 | 4 |
| 8720 | 90031 | 8 |
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
Questions
What is the 8719th prime number?
90023.
Which prime number is 90023?
90023 is the 8719th prime number.
What is the sum of the first 8719 primes?
371,467,392.