What is the 9153rd prime number?
The 9153rd prime number is 94949. The next prime is 94951 (a gap of 2) and the one before is 94933.
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 9153rd one is 94949.
- 2
94949 is prime because no prime up to ā94949 ā 308.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9153rd prime is close to 9153 Ć ln(9153) ā 83492, and here it is 94949.
- 4
94949 is a twin prime: 94949 and 94951 are both prime.
Primes around the 9153rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9150 | 94903 | 14 |
| 9151 | 94907 | 4 |
| 9152 | 94933 | 26 |
| 9153 | 94949 | 16 |
| 9154 | 94951 | 2 |
| 9155 | 94961 | 10 |
| 9156 | 94993 | 32 |
Questions
What is the 9153rd prime number?
94949.
Which prime number is 94949?
94949 is the 9153rd prime number.
What is the sum of the first 9153 primes?
411,612,386.