What is the 8916th prime number?
The 8916th prime number is 92333. The next prime is 92347 (a gap of 14) and the one before is 92317.
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 8916th one is 92333.
- 2
92333 is prime because no prime up to ā92333 ā 303.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8916th prime is close to 8916 Ć ln(8916) ā 81096, and here it is 92333.
- 4
92333 has no twin: neither 92331 nor 92335 is prime.
Primes around the 8916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8913 | 92297 | 28 |
| 8914 | 92311 | 14 |
| 8915 | 92317 | 6 |
| 8916 | 92333 | 16 |
| 8917 | 92347 | 14 |
| 8918 | 92353 | 6 |
| 8919 | 92357 | 4 |
Questions
What is the 8916th prime number?
92333.
Which prime number is 92333?
92333 is the 8916th prime number.
What is the sum of the first 8916 primes?
389,429,093.