What is the 9143rd prime number?
The 9143rd prime number is 94823. The next prime is 94837 (a gap of 14) and the one before is 94819.
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 9143rd one is 94823.
- 2
94823 is prime because no prime up to ā94823 ā 307.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9143rd prime is close to 9143 Ć ln(9143) ā 83391, and here it is 94823.
- 4
94823 has no twin: neither 94821 nor 94825 is prime.
Primes around the 9143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
| 9142 | 94819 | 8 |
| 9143 | 94823 | 4 |
| 9144 | 94837 | 14 |
| 9145 | 94841 | 4 |
| 9146 | 94847 | 6 |
Questions
What is the 9143rd prime number?
94823.
Which prime number is 94823?
94823 is the 9143rd prime number.
What is the sum of the first 9143 primes?
410,663,558.