What is the 9142nd prime number?
The 9142nd prime number is 94819. The next prime is 94823 (a gap of 4) and the one before is 94811.
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 9142nd one is 94819.
- 2
94819 is prime because no prime up to ā94819 ā 307.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9142nd prime is close to 9142 Ć ln(9142) ā 83381, and here it is 94819.
- 4
94819 has no twin: neither 94817 nor 94821 is prime.
Primes around the 9142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
| 9142 | 94819 | 8 |
| 9143 | 94823 | 4 |
| 9144 | 94837 | 14 |
| 9145 | 94841 | 4 |
Questions
What is the 9142nd prime number?
94819.
Which prime number is 94819?
94819 is the 9142nd prime number.
What is the sum of the first 9142 primes?
410,568,735.