What is the 2265th prime number?
The 2265th prime number is 20023. The next prime is 20029 (a gap of 6) and the one before is 20021.
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 2265th one is 20023.
- 2
20023 is prime because no prime up to ā20023 ā 141.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2265th prime is close to 2265 Ć ln(2265) ā 17498, and here it is 20023.
- 4
20023 is a twin prime: 20021 and 20023 are both prime.
Primes around the 2265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
Questions
What is the 2265th prime number?
20023.
Which prime number is 20023?
20023 is the 2265th prime number.
What is the sum of the first 2265 primes?
21,231,246.