What is the 1452nd prime number?
The 1452nd prime number is 12119. The next prime is 12143 (a gap of 24) and the one before is 12113.
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 1452nd one is 12119.
- 2
12119 is prime because no prime up to ā12119 ā 110.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1452nd prime is close to 1452 Ć ln(1452) ā 10572, and here it is 12119.
- 4
12119 has no twin: neither 12117 nor 12121 is prime.
Primes around the 1452nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
Questions
What is the 1452nd prime number?
12119.
Which prime number is 12119?
12119 is the 1452nd prime number.
What is the sum of the first 1452 primes?
8,203,413.