What is the 9117th prime number?
The 9117th prime number is 94541. The next prime is 94543 (a gap of 2) and the one before is 94531.
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 9117th one is 94541.
- 2
94541 is prime because no prime up to ā94541 ā 307.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9117th prime is close to 9117 Ć ln(9117) ā 83128, and here it is 94541.
- 4
94541 is a twin prime: 94541 and 94543 are both prime.
Primes around the 9117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9114 | 94513 | 30 |
| 9115 | 94529 | 16 |
| 9116 | 94531 | 2 |
| 9117 | 94541 | 10 |
| 9118 | 94543 | 2 |
| 9119 | 94547 | 4 |
| 9120 | 94559 | 12 |
Questions
What is the 9117th prime number?
94541.
Which prime number is 94541?
94541 is the 9117th prime number.
What is the sum of the first 9117 primes?
408,201,808.