What is the 2263rd prime number?
The 2263rd prime number is 20011. The next prime is 20021 (a gap of 10) and the one before is 19997.
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 2263rd one is 20011.
- 2
20011 is prime because no prime up to ā20011 ā 141.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2263rd prime is close to 2263 Ć ln(2263) ā 17480, and here it is 20011.
- 4
20011 has no twin: neither 20009 nor 20013 is prime.
Primes around the 2263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2260 | 19991 | 12 |
| 2261 | 19993 | 2 |
| 2262 | 19997 | 4 |
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
Questions
What is the 2263rd prime number?
20011.
Which prime number is 20011?
20011 is the 2263rd prime number.
What is the sum of the first 2263 primes?
21,191,202.