What is the 2122nd prime number?
The 2122nd prime number is 18523. The next prime is 18539 (a gap of 16) and the one before is 18521.
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 2122nd one is 18523.
- 2
18523 is prime because no prime up to ā18523 ā 136.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2122nd prime is close to 2122 Ć ln(2122) ā 16255, and here it is 18523.
- 4
18523 is a twin prime: 18521 and 18523 are both prime.
Primes around the 2122nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
Questions
What is the 2122nd prime number?
18523.
Which prime number is 18523?
18523 is the 2122nd prime number.
What is the sum of the first 2122 primes?
18,467,027.