What is the 2440th prime number?
The 2440th prime number is 21751. The next prime is 21757 (a gap of 6) and the one before is 21739.
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 2440th one is 21751.
- 2
21751 is prime because no prime up to ā21751 ā 147.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2440th prime is close to 2440 Ć ln(2440) ā 19031, and here it is 21751.
- 4
21751 has no twin: neither 21749 nor 21753 is prime.
Primes around the 2440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2437 | 21727 | 14 |
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
Questions
What is the 2440th prime number?
21751.
Which prime number is 21751?
21751 is the 2440th prime number.
What is the sum of the first 2440 primes?
24,888,697.