What is the 8126th prime number?
The 8126th prime number is 83231. The next prime is 83233 (a gap of 2) and the one before is 83227.
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 8126th one is 83231.
- 2
83231 is prime because no prime up to ā83231 ā 288.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8126th prime is close to 8126 Ć ln(8126) ā 73157, and here it is 83231.
- 4
83231 is a twin prime: 83231 and 83233 are both prime.
Primes around the 8126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
| 8127 | 83233 | 2 |
| 8128 | 83243 | 10 |
| 8129 | 83257 | 14 |
Questions
What is the 8126th prime number?
83231.
Which prime number is 83231?
83231 is the 8126th prime number.
What is the sum of the first 8126 primes?
320,071,797.