What is the 8791st prime number?
The 8791st prime number is 90863. The next prime is 90887 (a gap of 24) and the one before is 90847.
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 8791st one is 90863.
- 2
90863 is prime because no prime up to ā90863 ā 301.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8791st prime is close to 8791 Ć ln(8791) ā 79835, and here it is 90863.
- 4
90863 has no twin: neither 90861 nor 90865 is prime.
Primes around the 8791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8788 | 90833 | 10 |
| 8789 | 90841 | 8 |
| 8790 | 90847 | 6 |
| 8791 | 90863 | 16 |
| 8792 | 90887 | 24 |
| 8793 | 90901 | 14 |
| 8794 | 90907 | 6 |
Questions
What is the 8791st prime number?
90863.
Which prime number is 90863?
90863 is the 8791st prime number.
What is the sum of the first 8791 primes?
377,978,762.