What is the 2239th prime number?
The 2239th prime number is 19777. The next prime is 19793 (a gap of 16) and the one before is 19763.
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 2239th one is 19777.
- 2
19777 is prime because no prime up to ā19777 ā 140.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2239th prime is close to 2239 Ć ln(2239) ā 17271, and here it is 19777.
- 4
19777 has no twin: neither 19775 nor 19779 is prime.
Primes around the 2239th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2236 | 19753 | 2 |
| 2237 | 19759 | 6 |
| 2238 | 19763 | 4 |
| 2239 | 19777 | 14 |
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
Questions
What is the 2239th prime number?
19777.
Which prime number is 19777?
19777 is the 2239th prime number.
What is the sum of the first 2239 primes?
20,713,418.