What is the 8914th prime number?
The 8914th prime number is 92311. The next prime is 92317 (a gap of 6) and the one before is 92297.
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 8914th one is 92311.
- 2
92311 is prime because no prime up to ā92311 ā 303.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8914th prime is close to 8914 Ć ln(8914) ā 81076, and here it is 92311.
- 4
92311 has no twin: neither 92309 nor 92313 is prime.
Primes around the 8914th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8911 | 92251 | 8 |
| 8912 | 92269 | 18 |
| 8913 | 92297 | 28 |
| 8914 | 92311 | 14 |
| 8915 | 92317 | 6 |
| 8916 | 92333 | 16 |
| 8917 | 92347 | 14 |
Questions
What is the 8914th prime number?
92311.
Which prime number is 92311?
92311 is the 8914th prime number.
What is the sum of the first 8914 primes?
389,244,443.