What is the 2246th prime number?
The 2246th prime number is 19853. The next prime is 19861 (a gap of 8) and the one before is 19843.
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 2246th one is 19853.
- 2
19853 is prime because no prime up to ā19853 ā 140.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2246th prime is close to 2246 Ć ln(2246) ā 17332, and here it is 19853.
- 4
19853 has no twin: neither 19851 nor 19855 is prime.
Primes around the 2246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
| 2245 | 19843 | 2 |
| 2246 | 19853 | 10 |
| 2247 | 19861 | 8 |
| 2248 | 19867 | 6 |
| 2249 | 19889 | 22 |
Questions
What is the 2246th prime number?
19853.
Which prime number is 19853?
19853 is the 2246th prime number.
What is the sum of the first 2246 primes?
20,852,181.