What is the 2242nd prime number?
The 2242nd prime number is 19813. The next prime is 19819 (a gap of 6) and the one before is 19801.
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 2242nd one is 19813.
- 2
19813 is prime because no prime up to ā19813 ā 140.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2242nd prime is close to 2242 Ć ln(2242) ā 17297, and here it is 19813.
- 4
19813 has no twin: neither 19811 nor 19815 is prime.
Primes around the 2242nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
| 2245 | 19843 | 2 |
Questions
What is the 2242nd prime number?
19813.
Which prime number is 19813?
19813 is the 2242nd prime number.
What is the sum of the first 2242 primes?
20,772,825.