What is the 8720th prime number?
The 8720th prime number is 90031. The next prime is 90053 (a gap of 22) and the one before is 90023.
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 8720th one is 90031.
- 2
90031 is prime because no prime up to ā90031 ā 300.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8720th prime is close to 8720 Ć ln(8720) ā 79120, and here it is 90031.
- 4
90031 has no twin: neither 90029 nor 90033 is prime.
Primes around the 8720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8717 | 90017 | 6 |
| 8718 | 90019 | 2 |
| 8719 | 90023 | 4 |
| 8720 | 90031 | 8 |
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
Questions
What is the 8720th prime number?
90031.
Which prime number is 90031?
90031 is the 8720th prime number.
What is the sum of the first 8720 primes?
371,557,423.