What is the 3633rd prime number?
The 3633rd prime number is 33931. The next prime is 33937 (a gap of 6) and the one before is 33923.
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 3633rd one is 33931.
- 2
33931 is prime because no prime up to ā33931 ā 184.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3633rd prime is close to 3633 Ć ln(3633) ā 29783, and here it is 33931.
- 4
33931 has no twin: neither 33929 nor 33933 is prime.
Primes around the 3633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3630 | 33893 | 4 |
| 3631 | 33911 | 18 |
| 3632 | 33923 | 12 |
| 3633 | 33931 | 8 |
| 3634 | 33937 | 6 |
| 3635 | 33941 | 4 |
| 3636 | 33961 | 20 |
Questions
What is the 3633rd prime number?
33931.
Which prime number is 33931?
33931 is the 3633rd prime number.
What is the sum of the first 3633 primes?
58,092,234.