What is the 2267th prime number?
The 2267th prime number is 20047. The next prime is 20051 (a gap of 4) and the one before is 20029.
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 2267th one is 20047.
- 2
20047 is prime because no prime up to ā20047 ā 141.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2267th prime is close to 2267 Ć ln(2267) ā 17515, and here it is 20047.
- 4
20047 has no twin: neither 20045 nor 20049 is prime.
Primes around the 2267th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
Questions
What is the 2267th prime number?
20047.
Which prime number is 20047?
20047 is the 2267th prime number.
What is the sum of the first 2267 primes?
21,271,322.