What is the 8271st prime number?
The 8271st prime number is 84919. The next prime is 84947 (a gap of 28) and the one before is 84913.
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 8271st one is 84919.
- 2
84919 is prime because no prime up to ā84919 ā 291.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8271st prime is close to 8271 Ć ln(8271) ā 74609, and here it is 84919.
- 4
84919 has no twin: neither 84917 nor 84921 is prime.
Primes around the 8271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8268 | 84869 | 10 |
| 8269 | 84871 | 2 |
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
| 8274 | 84967 | 6 |
Questions
What is the 8271st prime number?
84919.
Which prime number is 84919?
84919 is the 8271st prime number.
What is the sum of the first 8271 primes?
332,262,458.