What is the 8123rd prime number?
The 8123rd prime number is 83219. The next prime is 83221 (a gap of 2) and the one before is 83207.
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 8123rd one is 83219.
- 2
83219 is prime because no prime up to ā83219 ā 288.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8123rd prime is close to 8123 Ć ln(8123) ā 73127, and here it is 83219.
- 4
83219 is a twin prime: 83219 and 83221 are both prime.
Primes around the 8123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
| 8126 | 83231 | 4 |
Questions
What is the 8123rd prime number?
83219.
Which prime number is 83219?
83219 is the 8123rd prime number.
What is the sum of the first 8123 primes?
319,822,118.