What is the 8150th prime number?
The 8150th prime number is 83471. The next prime is 83477 (a gap of 6) and the one before is 83459.
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 8150th one is 83471.
- 2
83471 is prime because no prime up to ā83471 ā 288.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8150th prime is close to 8150 Ć ln(8150) ā 73397, and here it is 83471.
- 4
83471 has no twin: neither 83469 nor 83473 is prime.
Primes around the 8150th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8147 | 83443 | 6 |
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
| 8152 | 83497 | 20 |
| 8153 | 83537 | 40 |
Questions
What is the 8150th prime number?
83471.
Which prime number is 83471?
83471 is the 8150th prime number.
What is the sum of the first 8150 primes?
322,072,495.