What is the 8130th prime number?
The 8130th prime number is 83267. The next prime is 83269 (a gap of 2) and the one before is 83257.
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 8130th one is 83267.
- 2
83267 is prime because no prime up to ā83267 ā 288.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8130th prime is close to 8130 Ć ln(8130) ā 73197, and here it is 83267.
- 4
83267 is a twin prime: 83267 and 83269 are both prime.
Primes around the 8130th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
| 8130 | 83267 | 10 |
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
Questions
What is the 8130th prime number?
83267.
Which prime number is 83267?
83267 is the 8130th prime number.
What is the sum of the first 8130 primes?
320,404,797.