What is the 2121st prime number?
The 2121st prime number is 18521. The next prime is 18523 (a gap of 2) and the one before is 18517.
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 2121st one is 18521.
- 2
18521 is prime because no prime up to ā18521 ā 136.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2121st prime is close to 2121 Ć ln(2121) ā 16246, and here it is 18521.
- 4
18521 is a twin prime: 18521 and 18523 are both prime.
Primes around the 2121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2118 | 18493 | 12 |
| 2119 | 18503 | 10 |
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
Questions
What is the 2121st prime number?
18521.
Which prime number is 18521?
18521 is the 2121st prime number.
What is the sum of the first 2121 primes?
18,448,504.