What is the 2123rd prime number?
The 2123rd prime number is 18539. The next prime is 18541 (a gap of 2) and the one before is 18523.
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 2123rd one is 18539.
- 2
18539 is prime because no prime up to ā18539 ā 136.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2123rd prime is close to 2123 Ć ln(2123) ā 16263, and here it is 18539.
- 4
18539 is a twin prime: 18539 and 18541 are both prime.
Primes around the 2123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2120 | 18517 | 14 |
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
Questions
What is the 2123rd prime number?
18539.
Which prime number is 18539?
18539 is the 2123rd prime number.
What is the sum of the first 2123 primes?
18,485,566.