What is the 8792nd prime number?
The 8792nd prime number is 90887. The next prime is 90901 (a gap of 14) and the one before is 90863.
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 8792nd one is 90887.
- 2
90887 is prime because no prime up to ā90887 ā 301.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8792nd prime is close to 8792 Ć ln(8792) ā 79845, and here it is 90887.
- 4
90887 has no twin: neither 90885 nor 90889 is prime.
Primes around the 8792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8789 | 90841 | 8 |
| 8790 | 90847 | 6 |
| 8791 | 90863 | 16 |
| 8792 | 90887 | 24 |
| 8793 | 90901 | 14 |
| 8794 | 90907 | 6 |
| 8795 | 90911 | 4 |
Questions
What is the 8792nd prime number?
90887.
Which prime number is 90887?
90887 is the 8792nd prime number.
What is the sum of the first 8792 primes?
378,069,649.