What is the 9134th prime number?
The 9134th prime number is 94727. The next prime is 94747 (a gap of 20) and the one before is 94723.
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 9134th one is 94727.
- 2
94727 is prime because no prime up to ā94727 ā 307.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9134th prime is close to 9134 Ć ln(9134) ā 83300, and here it is 94727.
- 4
94727 has no twin: neither 94725 nor 94729 is prime.
Primes around the 9134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9131 | 94693 | 6 |
| 9132 | 94709 | 16 |
| 9133 | 94723 | 14 |
| 9134 | 94727 | 4 |
| 9135 | 94747 | 20 |
| 9136 | 94771 | 24 |
| 9137 | 94777 | 6 |
Questions
What is the 9134th prime number?
94727.
Which prime number is 94727?
94727 is the 9134th prime number.
What is the sum of the first 9134 primes?
409,810,447.