What is the 8152nd prime number?
The 8152nd prime number is 83497. The next prime is 83537 (a gap of 40) and the one before is 83477.
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 8152nd one is 83497.
- 2
83497 is prime because no prime up to ā83497 ā 288.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8152nd prime is close to 8152 Ć ln(8152) ā 73417, and here it is 83497.
- 4
83497 has no twin: neither 83495 nor 83499 is prime.
Primes around the 8152nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
| 8152 | 83497 | 20 |
| 8153 | 83537 | 40 |
| 8154 | 83557 | 20 |
| 8155 | 83561 | 4 |
Questions
What is the 8152nd prime number?
83497.
Which prime number is 83497?
83497 is the 8152nd prime number.
What is the sum of the first 8152 primes?
322,239,469.