What is the 1923rd prime number?
The 1923rd prime number is 16631. The next prime is 16633 (a gap of 2) and the one before is 16619.
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 1923rd one is 16631.
- 2
16631 is prime because no prime up to ā16631 ā 128.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1923rd prime is close to 1923 Ć ln(1923) ā 14541, and here it is 16631.
- 4
16631 is a twin prime: 16631 and 16633 are both prime.
Primes around the 1923rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1920 | 16603 | 30 |
| 1921 | 16607 | 4 |
| 1922 | 16619 | 12 |
| 1923 | 16631 | 12 |
| 1924 | 16633 | 2 |
| 1925 | 16649 | 16 |
| 1926 | 16651 | 2 |
Questions
What is the 1923rd prime number?
16631.
Which prime number is 16631?
16631 is the 1923rd prime number.
What is the sum of the first 1923 primes?
14,964,348.