What is the 9118th prime number?
The 9118th prime number is 94543. The next prime is 94547 (a gap of 4) and the one before is 94541.
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 9118th one is 94543.
- 2
94543 is prime because no prime up to ā94543 ā 307.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9118th prime is close to 9118 Ć ln(9118) ā 83138, and here it is 94543.
- 4
94543 is a twin prime: 94541 and 94543 are both prime.
Primes around the 9118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9115 | 94529 | 16 |
| 9116 | 94531 | 2 |
| 9117 | 94541 | 10 |
| 9118 | 94543 | 2 |
| 9119 | 94547 | 4 |
| 9120 | 94559 | 12 |
| 9121 | 94561 | 2 |
Questions
What is the 9118th prime number?
94543.
Which prime number is 94543?
94543 is the 9118th prime number.
What is the sum of the first 9118 primes?
408,296,351.