What is the 2245th prime number?
The 2245th prime number is 19843. The next prime is 19853 (a gap of 10) and the one before is 19841.
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 2245th one is 19843.
- 2
19843 is prime because no prime up to ā19843 ā 140.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2245th prime is close to 2245 Ć ln(2245) ā 17323, and here it is 19843.
- 4
19843 is a twin prime: 19841 and 19843 are both prime.
Primes around the 2245th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
| 2245 | 19843 | 2 |
| 2246 | 19853 | 10 |
| 2247 | 19861 | 8 |
| 2248 | 19867 | 6 |
Questions
What is the 2245th prime number?
19843.
Which prime number is 19843?
19843 is the 2245th prime number.
What is the sum of the first 2245 primes?
20,832,328.