What is the 1456th prime number?
The 1456th prime number is 12161. The next prime is 12163 (a gap of 2) and the one before is 12157.
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 1456th one is 12161.
- 2
12161 is prime because no prime up to ā12161 ā 110.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1456th prime is close to 1456 Ć ln(1456) ā 10605, and here it is 12161.
- 4
12161 is a twin prime: 12161 and 12163 are both prime.
Primes around the 1456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
| 1456 | 12161 | 4 |
| 1457 | 12163 | 2 |
| 1458 | 12197 | 34 |
| 1459 | 12203 | 6 |
Questions
What is the 1456th prime number?
12161.
Which prime number is 12161?
12161 is the 1456th prime number.
What is the sum of the first 1456 primes?
8,252,023.