What is the 1454th prime number?
The 1454th prime number is 12149. The next prime is 12157 (a gap of 8) and the one before is 12143.
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 1454th one is 12149.
- 2
12149 is prime because no prime up to ā12149 ā 110.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1454th prime is close to 1454 Ć ln(1454) ā 10588, and here it is 12149.
- 4
12149 has no twin: neither 12147 nor 12151 is prime.
Primes around the 1454th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
| 1456 | 12161 | 4 |
| 1457 | 12163 | 2 |
Questions
What is the 1454th prime number?
12149.
Which prime number is 12149?
12149 is the 1454th prime number.
What is the sum of the first 1454 primes?
8,227,705.