What is the 8133rd prime number?
The 8133rd prime number is 83299. The next prime is 83311 (a gap of 12) and the one before is 83273.
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 8133rd one is 83299.
- 2
83299 is prime because no prime up to ā83299 ā 288.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8133rd prime is close to 8133 Ć ln(8133) ā 73227, and here it is 83299.
- 4
83299 has no twin: neither 83297 nor 83301 is prime.
Primes around the 8133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
Questions
What is the 8133rd prime number?
83299.
Which prime number is 83299?
83299 is the 8133rd prime number.
What is the sum of the first 8133 primes?
320,654,638.