What is the 2273rd prime number?
The 2273rd prime number is 20107. The next prime is 20113 (a gap of 6) and the one before is 20101.
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 2273rd one is 20107.
- 2
20107 is prime because no prime up to ā20107 ā 141.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2273rd prime is close to 2273 Ć ln(2273) ā 17568, and here it is 20107.
- 4
20107 has no twin: neither 20105 nor 20109 is prime.
Primes around the 2273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2270 | 20071 | 8 |
| 2271 | 20089 | 18 |
| 2272 | 20101 | 12 |
| 2273 | 20107 | 6 |
| 2274 | 20113 | 6 |
| 2275 | 20117 | 4 |
| 2276 | 20123 | 6 |
Questions
What is the 2273rd prime number?
20107.
Which prime number is 20107?
20107 is the 2273rd prime number.
What is the sum of the first 2273 primes?
21,391,804.