What is the 1453rd prime number?
The 1453rd prime number is 12143. The next prime is 12149 (a gap of 6) and the one before is 12119.
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 1453rd one is 12143.
- 2
12143 is prime because no prime up to ā12143 ā 110.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1453rd prime is close to 1453 Ć ln(1453) ā 10580, and here it is 12143.
- 4
12143 has no twin: neither 12141 nor 12145 is prime.
Primes around the 1453rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
| 1456 | 12161 | 4 |
Questions
What is the 1453rd prime number?
12143.
Which prime number is 12143?
12143 is the 1453rd prime number.
What is the sum of the first 1453 primes?
8,215,556.