What is the 9139th prime number?
The 9139th prime number is 94789. The next prime is 94793 (a gap of 4) and the one before is 94781.
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 9139th one is 94789.
- 2
94789 is prime because no prime up to ā94789 ā 307.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9139th prime is close to 9139 Ć ln(9139) ā 83350, and here it is 94789.
- 4
94789 has no twin: neither 94787 nor 94791 is prime.
Primes around the 9139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9136 | 94771 | 24 |
| 9137 | 94777 | 6 |
| 9138 | 94781 | 4 |
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
| 9142 | 94819 | 8 |
Questions
What is the 9139th prime number?
94789.
Which prime number is 94789?
94789 is the 9139th prime number.
What is the sum of the first 9139 primes?
410,284,312.