What is the 3628th prime number?
The 3628th prime number is 33871. The next prime is 33889 (a gap of 18) and the one before is 33863.
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 3628th one is 33871.
- 2
33871 is prime because no prime up to ā33871 ā 184.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3628th prime is close to 3628 Ć ln(3628) ā 29737, and here it is 33871.
- 4
33871 has no twin: neither 33869 nor 33873 is prime.
Primes around the 3628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3625 | 33851 | 22 |
| 3626 | 33857 | 6 |
| 3627 | 33863 | 6 |
| 3628 | 33871 | 8 |
| 3629 | 33889 | 18 |
| 3630 | 33893 | 4 |
| 3631 | 33911 | 18 |
Questions
What is the 3628th prime number?
33871.
Which prime number is 33871?
33871 is the 3628th prime number.
What is the sum of the first 3628 primes?
57,922,687.