What is the 1457th prime number?
The 1457th prime number is 12163. The next prime is 12197 (a gap of 34) and the one before is 12161.
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 1457th one is 12163.
- 2
12163 is prime because no prime up to ā12163 ā 110.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1457th prime is close to 1457 Ć ln(1457) ā 10613, and here it is 12163.
- 4
12163 is a twin prime: 12161 and 12163 are both prime.
Primes around the 1457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
| 1456 | 12161 | 4 |
| 1457 | 12163 | 2 |
| 1458 | 12197 | 34 |
| 1459 | 12203 | 6 |
| 1460 | 12211 | 8 |
Questions
What is the 1457th prime number?
12163.
Which prime number is 12163?
12163 is the 1457th prime number.
What is the sum of the first 1457 primes?
8,264,186.