What is the 9116th prime number?
The 9116th prime number is 94531. The next prime is 94541 (a gap of 10) and the one before is 94529.
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 9116th one is 94531.
- 2
94531 is prime because no prime up to ā94531 ā 307.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9116th prime is close to 9116 Ć ln(9116) ā 83118, and here it is 94531.
- 4
94531 is a twin prime: 94529 and 94531 are both prime.
Primes around the 9116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9113 | 94483 | 6 |
| 9114 | 94513 | 30 |
| 9115 | 94529 | 16 |
| 9116 | 94531 | 2 |
| 9117 | 94541 | 10 |
| 9118 | 94543 | 2 |
| 9119 | 94547 | 4 |
Questions
What is the 9116th prime number?
94531.
Which prime number is 94531?
94531 is the 9116th prime number.
What is the sum of the first 9116 primes?
408,107,267.