What is the 8270th prime number?
The 8270th prime number is 84913. The next prime is 84919 (a gap of 6) and the one before is 84871.
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 8270th one is 84913.
- 2
84913 is prime because no prime up to ā84913 ā 291.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8270th prime is close to 8270 Ć ln(8270) ā 74599, and here it is 84913.
- 4
84913 has no twin: neither 84911 nor 84915 is prime.
Primes around the 8270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8267 | 84859 | 2 |
| 8268 | 84869 | 10 |
| 8269 | 84871 | 2 |
| 8270 | 84913 | 42 |
| 8271 | 84919 | 6 |
| 8272 | 84947 | 28 |
| 8273 | 84961 | 14 |
Questions
What is the 8270th prime number?
84913.
Which prime number is 84913?
84913 is the 8270th prime number.
What is the sum of the first 8270 primes?
332,177,539.