What is the 1455th prime number?
The 1455th prime number is 12157. The next prime is 12161 (a gap of 4) and the one before is 12149.
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 1455th one is 12157.
- 2
12157 is prime because no prime up to ā12157 ā 110.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1455th prime is close to 1455 Ć ln(1455) ā 10596, and here it is 12157.
- 4
12157 has no twin: neither 12155 nor 12159 is prime.
Primes around the 1455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
| 1455 | 12157 | 8 |
| 1456 | 12161 | 4 |
| 1457 | 12163 | 2 |
| 1458 | 12197 | 34 |
Questions
What is the 1455th prime number?
12157.
Which prime number is 12157?
12157 is the 1455th prime number.
What is the sum of the first 1455 primes?
8,239,862.