What is the 8132nd prime number?
The 8132nd prime number is 83273. The next prime is 83299 (a gap of 26) and the one before is 83269.
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 8132nd one is 83273.
- 2
83273 is prime because no prime up to ā83273 ā 288.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8132nd prime is close to 8132 Ć ln(8132) ā 73217, and here it is 83273.
- 4
83273 has no twin: neither 83271 nor 83275 is prime.
Primes around the 8132nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
Questions
What is the 8132nd prime number?
83273.
Which prime number is 83273?
83273 is the 8132nd prime number.
What is the sum of the first 8132 primes?
320,571,339.