What is the 8272nd prime number?
The 8272nd prime number is 84947. The next prime is 84961 (a gap of 14) and the one before is 84919.
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 8272nd one is 84947.
- 2
84947 is prime because no prime up to ā84947 ā 291.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8272nd prime is close to 8272 Ć ln(8272) ā 74619, and here it is 84947.
- 4
84947 has no twin: neither 84945 nor 84949 is prime.
Primes around the 8272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8269 | 84871 | 2 |
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
| 8275 | 84977 | 10 |
Questions
What is the 8272nd prime number?
84947.
Which prime number is 84947?
84947 is the 8272nd prime number.
What is the sum of the first 8272 primes?
332,347,405.