What is the 2269th prime number?
The 2269th prime number is 20063. The next prime is 20071 (a gap of 8) and the one before is 20051.
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 2269th one is 20063.
- 2
20063 is prime because no prime up to ā20063 ā 141.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2269th prime is close to 2269 Ć ln(2269) ā 17533, and here it is 20063.
- 4
20063 has no twin: neither 20061 nor 20065 is prime.
Primes around the 2269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
Questions
What is the 2269th prime number?
20063.
Which prime number is 20063?
20063 is the 2269th prime number.
What is the sum of the first 2269 primes?
21,311,436.