What is the 2441st prime number?
The 2441st prime number is 21757. The next prime is 21767 (a gap of 10) and the one before is 21751.
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 2441st one is 21757.
- 2
21757 is prime because no prime up to ā21757 ā 147.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2441st prime is close to 2441 Ć ln(2441) ā 19040, and here it is 21757.
- 4
21757 has no twin: neither 21755 nor 21759 is prime.
Primes around the 2441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2438 | 21737 | 10 |
| 2439 | 21739 | 2 |
| 2440 | 21751 | 12 |
| 2441 | 21757 | 6 |
| 2442 | 21767 | 10 |
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
Questions
What is the 2441st prime number?
21757.
Which prime number is 21757?
21757 is the 2441st prime number.
What is the sum of the first 2441 primes?
24,910,454.