What is the 2271st prime number?
The 2271st prime number is 20089. The next prime is 20101 (a gap of 12) and the one before is 20071.
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 2271st one is 20089.
- 2
20089 is prime because no prime up to ā20089 ā 141.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2271st prime is close to 2271 Ć ln(2271) ā 17550, and here it is 20089.
- 4
20089 has no twin: neither 20087 nor 20091 is prime.
Primes around the 2271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
Questions
What is the 2271st prime number?
20089.
Which prime number is 20089?
20089 is the 2271st prime number.
What is the sum of the first 2271 primes?
21,351,596.