What is the 8122nd prime number?
The 8122nd prime number is 83207. The next prime is 83219 (a gap of 12) and the one before is 83203.
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 8122nd one is 83207.
- 2
83207 is prime because no prime up to ā83207 ā 288.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8122nd prime is close to 8122 Ć ln(8122) ā 73117, and here it is 83207.
- 4
83207 has no twin: neither 83205 nor 83209 is prime.
Primes around the 8122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
| 8124 | 83221 | 2 |
| 8125 | 83227 | 6 |
Questions
What is the 8122nd prime number?
83207.
Which prime number is 83207?
83207 is the 8122nd prime number.
What is the sum of the first 8122 primes?
319,738,899.