What is the 9152nd prime number?
The 9152nd prime number is 94933. The next prime is 94949 (a gap of 16) and the one before is 94907.
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 9152nd one is 94933.
- 2
94933 is prime because no prime up to ā94933 ā 308.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9152nd prime is close to 9152 Ć ln(9152) ā 83482, and here it is 94933.
- 4
94933 has no twin: neither 94931 nor 94935 is prime.
Primes around the 9152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9149 | 94889 | 16 |
| 9150 | 94903 | 14 |
| 9151 | 94907 | 4 |
| 9152 | 94933 | 26 |
| 9153 | 94949 | 16 |
| 9154 | 94951 | 2 |
| 9155 | 94961 | 10 |
Questions
What is the 9152nd prime number?
94933.
Which prime number is 94933?
94933 is the 9152nd prime number.
What is the sum of the first 9152 primes?
411,517,437.