What is the 8793rd prime number?
The 8793rd prime number is 90901. The next prime is 90907 (a gap of 6) and the one before is 90887.
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 8793rd one is 90901.
- 2
90901 is prime because no prime up to ā90901 ā 301.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8793rd prime is close to 8793 Ć ln(8793) ā 79855, and here it is 90901.
- 4
90901 has no twin: neither 90899 nor 90903 is prime.
Primes around the 8793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8790 | 90847 | 6 |
| 8791 | 90863 | 16 |
| 8792 | 90887 | 24 |
| 8793 | 90901 | 14 |
| 8794 | 90907 | 6 |
| 8795 | 90911 | 4 |
| 8796 | 90917 | 6 |
Questions
What is the 8793rd prime number?
90901.
Which prime number is 90901?
90901 is the 8793rd prime number.
What is the sum of the first 8793 primes?
378,160,550.