What is the 2244th prime number?
The 2244th prime number is 19841. The next prime is 19843 (a gap of 2) and the one before is 19819.
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 2244th one is 19841.
- 2
19841 is prime because no prime up to ā19841 ā 140.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2244th prime is close to 2244 Ć ln(2244) ā 17315, and here it is 19841.
- 4
19841 is a twin prime: 19841 and 19843 are both prime.
Primes around the 2244th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
| 2245 | 19843 | 2 |
| 2246 | 19853 | 10 |
| 2247 | 19861 | 8 |
Questions
What is the 2244th prime number?
19841.
Which prime number is 19841?
19841 is the 2244th prime number.
What is the sum of the first 2244 primes?
20,812,485.