What is the 2264th prime number?
The 2264th prime number is 20021. The next prime is 20023 (a gap of 2) and the one before is 20011.
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 2264th one is 20021.
- 2
20021 is prime because no prime up to ā20021 ā 141.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2264th prime is close to 2264 Ć ln(2264) ā 17489, and here it is 20021.
- 4
20021 is a twin prime: 20021 and 20023 are both prime.
Primes around the 2264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
Questions
What is the 2264th prime number?
20021.
Which prime number is 20021?
20021 is the 2264th prime number.
What is the sum of the first 2264 primes?
21,211,223.