What is the 2446th prime number?
The 2446th prime number is 21803. The next prime is 21817 (a gap of 14) and the one before is 21799.
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 2446th one is 21803.
- 2
21803 is prime because no prime up to ā21803 ā 147.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2446th prime is close to 2446 Ć ln(2446) ā 19084, and here it is 21803.
- 4
21803 has no twin: neither 21801 nor 21805 is prime.
Primes around the 2446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2443 | 21773 | 6 |
| 2444 | 21787 | 14 |
| 2445 | 21799 | 12 |
| 2446 | 21803 | 4 |
| 2447 | 21817 | 14 |
| 2448 | 21821 | 4 |
| 2449 | 21839 | 18 |
Questions
What is the 2446th prime number?
21803.
Which prime number is 21803?
21803 is the 2446th prime number.
What is the sum of the first 2446 primes?
25,019,383.