What is the 9141st prime number?
The 9141st prime number is 94811. The next prime is 94819 (a gap of 8) and the one before is 94793.
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 9141st one is 94811.
- 2
94811 is prime because no prime up to ā94811 ā 307.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9141st prime is close to 9141 Ć ln(9141) ā 83371, and here it is 94811.
- 4
94811 has no twin: neither 94809 nor 94813 is prime.
Primes around the 9141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9138 | 94781 | 4 |
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
| 9142 | 94819 | 8 |
| 9143 | 94823 | 4 |
| 9144 | 94837 | 14 |
Questions
What is the 9141st prime number?
94811.
Which prime number is 94811?
94811 is the 9141st prime number.
What is the sum of the first 9141 primes?
410,473,916.