What is the 2268th prime number?
The 2268th prime number is 20051. The next prime is 20063 (a gap of 12) and the one before is 20047.
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 2268th one is 20051.
- 2
20051 is prime because no prime up to ā20051 ā 141.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2268th prime is close to 2268 Ć ln(2268) ā 17524, and here it is 20051.
- 4
20051 has no twin: neither 20049 nor 20053 is prime.
Primes around the 2268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
Questions
What is the 2268th prime number?
20051.
Which prime number is 20051?
20051 is the 2268th prime number.
What is the sum of the first 2268 primes?
21,291,373.