What is the 2444th prime number?
The 2444th prime number is 21787. The next prime is 21799 (a gap of 12) and the one before is 21773.
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 2444th one is 21787.
- 2
21787 is prime because no prime up to ā21787 ā 147.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2444th prime is close to 2444 Ć ln(2444) ā 19067, and here it is 21787.
- 4
21787 has no twin: neither 21785 nor 21789 is prime.
Primes around the 2444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
| 2445 | 21799 | 12 |
| 2446 | 21803 | 4 |
| 2447 | 21817 | 14 |
Questions
What is the 2444th prime number?
21787.
Which prime number is 21787?
21787 is the 2444th prime number.
What is the sum of the first 2444 primes?
24,975,781.