What is the 8151st prime number?
The 8151st prime number is 83477. The next prime is 83497 (a gap of 20) and the one before is 83471.
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 8151st one is 83477.
- 2
83477 is prime because no prime up to ā83477 ā 288.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8151st prime is close to 8151 Ć ln(8151) ā 73407, and here it is 83477.
- 4
83477 has no twin: neither 83475 nor 83479 is prime.
Primes around the 8151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8148 | 83449 | 6 |
| 8149 | 83459 | 10 |
| 8150 | 83471 | 12 |
| 8151 | 83477 | 6 |
| 8152 | 83497 | 20 |
| 8153 | 83537 | 40 |
| 8154 | 83557 | 20 |
Questions
What is the 8151st prime number?
83477.
Which prime number is 83477?
83477 is the 8151st prime number.
What is the sum of the first 8151 primes?
322,155,972.