What is the 2124th prime number?
The 2124th prime number is 18541. The next prime is 18553 (a gap of 12) and the one before is 18539.
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 2124th one is 18541.
- 2
18541 is prime because no prime up to ā18541 ā 136.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2124th prime is close to 2124 Ć ln(2124) ā 16272, and here it is 18541.
- 4
18541 is a twin prime: 18539 and 18541 are both prime.
Primes around the 2124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2121 | 18521 | 4 |
| 2122 | 18523 | 2 |
| 2123 | 18539 | 16 |
| 2124 | 18541 | 2 |
| 2125 | 18553 | 12 |
| 2126 | 18583 | 30 |
| 2127 | 18587 | 4 |
Questions
What is the 2124th prime number?
18541.
Which prime number is 18541?
18541 is the 2124th prime number.
What is the sum of the first 2124 primes?
18,504,107.