What is the 2270th prime number?
The 2270th prime number is 20071. The next prime is 20089 (a gap of 18) and the one before is 20063.
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 2270th one is 20071.
- 2
20071 is prime because no prime up to ā20071 ā 141.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2270th prime is close to 2270 Ć ln(2270) ā 17542, and here it is 20071.
- 4
20071 has no twin: neither 20069 nor 20073 is prime.
Primes around the 2270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2267 | 20047 | 18 |
| 2268 | 20051 | 4 |
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
Questions
What is the 2270th prime number?
20071.
Which prime number is 20071?
20071 is the 2270th prime number.
What is the sum of the first 2270 primes?
21,331,507.