What is the 2272nd prime number?
The 2272nd prime number is 20101. The next prime is 20107 (a gap of 6) and the one before is 20089.
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 2272nd one is 20101.
- 2
20101 is prime because no prime up to ā20101 ā 141.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2272nd prime is close to 2272 Ć ln(2272) ā 17559, and here it is 20101.
- 4
20101 has no twin: neither 20099 nor 20103 is prime.
Primes around the 2272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2269 | 20063 | 12 |
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
Questions
What is the 2272nd prime number?
20101.
Which prime number is 20101?
20101 is the 2272nd prime number.
What is the sum of the first 2272 primes?
21,371,697.