What is the 9137th prime number?
The 9137th prime number is 94777. The next prime is 94781 (a gap of 4) and the one before is 94771.
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 9137th one is 94777.
- 2
94777 is prime because no prime up to ā94777 ā 307.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9137th prime is close to 9137 Ć ln(9137) ā 83330, and here it is 94777.
- 4
94777 has no twin: neither 94775 nor 94779 is prime.
Primes around the 9137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9134 | 94727 | 4 |
| 9135 | 94747 | 20 |
| 9136 | 94771 | 24 |
| 9137 | 94777 | 6 |
| 9138 | 94781 | 4 |
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
Questions
What is the 9137th prime number?
94777.
Which prime number is 94777?
94777 is the 9137th prime number.
What is the sum of the first 9137 primes?
410,094,742.