What is the 8443rd prime number?
The 8443rd prime number is 86927. The next prime is 86929 (a gap of 2) and the one before is 86923.
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 8443rd one is 86927.
- 2
86927 is prime because no prime up to ā86927 ā 294.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8443rd prime is close to 8443 Ć ln(8443) ā 76334, and here it is 86927.
- 4
86927 is a twin prime: 86927 and 86929 are both prime.
Primes around the 8443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8440 | 86861 | 4 |
| 8441 | 86869 | 8 |
| 8442 | 86923 | 54 |
| 8443 | 86927 | 4 |
| 8444 | 86929 | 2 |
| 8445 | 86939 | 10 |
| 8446 | 86951 | 12 |
Questions
What is the 8443rd prime number?
86927.
Which prime number is 86927?
86927 is the 8443rd prime number.
What is the sum of the first 8443 primes?
347,038,968.