What is the 9115th prime number?
The 9115th prime number is 94529. The next prime is 94531 (a gap of 2) and the one before is 94513.
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 9115th one is 94529.
- 2
94529 is prime because no prime up to ā94529 ā 307.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9115th prime is close to 9115 Ć ln(9115) ā 83108, and here it is 94529.
- 4
94529 is a twin prime: 94529 and 94531 are both prime.
Primes around the 9115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9112 | 94477 | 14 |
| 9113 | 94483 | 6 |
| 9114 | 94513 | 30 |
| 9115 | 94529 | 16 |
| 9116 | 94531 | 2 |
| 9117 | 94541 | 10 |
| 9118 | 94543 | 2 |
Questions
What is the 9115th prime number?
94529.
Which prime number is 94529?
94529 is the 9115th prime number.
What is the sum of the first 9115 primes?
408,012,736.