What is the 1912th prime number?
The 1912th prime number is 16493. The next prime is 16519 (a gap of 26) and the one before is 16487.
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 1912th one is 16493.
- 2
16493 is prime because no prime up to ā16493 ā 128.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1912th prime is close to 1912 Ć ln(1912) ā 14447, and here it is 16493.
- 4
16493 has no twin: neither 16491 nor 16495 is prime.
Primes around the 1912th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1909 | 16477 | 24 |
| 1910 | 16481 | 4 |
| 1911 | 16487 | 6 |
| 1912 | 16493 | 6 |
| 1913 | 16519 | 26 |
| 1914 | 16529 | 10 |
| 1915 | 16547 | 18 |
Questions
What is the 1912th prime number?
16493.
Which prime number is 16493?
16493 is the 1912th prime number.
What is the sum of the first 1912 primes?
14,782,039.