What is the 1933rd prime number?
The 1933rd prime number is 16703. The next prime is 16729 (a gap of 26) and the one before is 16699.
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 1933rd one is 16703.
- 2
16703 is prime because no prime up to ā16703 ā 129.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1933rd prime is close to 1933 Ć ln(1933) ā 14627, and here it is 16703.
- 4
16703 has no twin: neither 16701 nor 16705 is prime.
Primes around the 1933rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1930 | 16691 | 18 |
| 1931 | 16693 | 2 |
| 1932 | 16699 | 6 |
| 1933 | 16703 | 4 |
| 1934 | 16729 | 26 |
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
Questions
What is the 1933rd prime number?
16703.
Which prime number is 16703?
16703 is the 1933rd prime number.
What is the sum of the first 1933 primes?
15,131,058.