What is the 2033rd prime number?
The 2033rd prime number is 17707. The next prime is 17713 (a gap of 6) and the one before is 17683.
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 2033rd one is 17707.
- 2
17707 is prime because no prime up to ā17707 ā 133.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2033rd prime is close to 2033 Ć ln(2033) ā 15486, and here it is 17707.
- 4
17707 has no twin: neither 17705 nor 17709 is prime.
Primes around the 2033rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2030 | 17669 | 10 |
| 2031 | 17681 | 12 |
| 2032 | 17683 | 2 |
| 2033 | 17707 | 24 |
| 2034 | 17713 | 6 |
| 2035 | 17729 | 16 |
| 2036 | 17737 | 8 |
Questions
What is the 2033rd prime number?
17707.
Which prime number is 17707?
17707 is the 2033rd prime number.
What is the sum of the first 2033 primes?
16,853,486.