What is the 2266th prime number?
The 2266th prime number is 20029. The next prime is 20047 (a gap of 18) and the one before is 20023.
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 2266th one is 20029.
- 2
20029 is prime because no prime up to ā20029 ā 141.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2266th prime is close to 2266 Ć ln(2266) ā 17507, and here it is 20029.
- 4
20029 has no twin: neither 20027 nor 20031 is prime.
Primes around the 2266th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2263 | 20011 | 14 |
| 2264 | 20021 | 10 |
| 2265 | 20023 | 2 |
| 2266 | 20029 | 6 |
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
Questions
What is the 2266th prime number?
20029.
Which prime number is 20029?
20029 is the 2266th prime number.
What is the sum of the first 2266 primes?
21,251,275.