What is the 1913th prime number?
The 1913th prime number is 16519. The next prime is 16529 (a gap of 10) and the one before is 16493.
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 1913th one is 16519.
- 2
16519 is prime because no prime up to ā16519 ā 128.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1913th prime is close to 1913 Ć ln(1913) ā 14455, and here it is 16519.
- 4
16519 has no twin: neither 16517 nor 16521 is prime.
Primes around the 1913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1910 | 16481 | 4 |
| 1911 | 16487 | 6 |
| 1912 | 16493 | 6 |
| 1913 | 16519 | 26 |
| 1914 | 16529 | 10 |
| 1915 | 16547 | 18 |
| 1916 | 16553 | 6 |
Questions
What is the 1913th prime number?
16519.
Which prime number is 16519?
16519 is the 1913th prime number.
What is the sum of the first 1913 primes?
14,798,558.