What is the 3629th prime number?
The 3629th prime number is 33889. The next prime is 33893 (a gap of 4) and the one before is 33871.
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 3629th one is 33889.
- 2
33889 is prime because no prime up to ā33889 ā 184.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3629th prime is close to 3629 Ć ln(3629) ā 29746, and here it is 33889.
- 4
33889 has no twin: neither 33887 nor 33891 is prime.
Primes around the 3629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3626 | 33857 | 6 |
| 3627 | 33863 | 6 |
| 3628 | 33871 | 8 |
| 3629 | 33889 | 18 |
| 3630 | 33893 | 4 |
| 3631 | 33911 | 18 |
| 3632 | 33923 | 12 |
Questions
What is the 3629th prime number?
33889.
Which prime number is 33889?
33889 is the 3629th prime number.
What is the sum of the first 3629 primes?
57,956,576.