What is the 3883rd prime number?
The 3883rd prime number is 36629. The next prime is 36637 (a gap of 8) and the one before is 36607.
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 3883rd one is 36629.
- 2
36629 is prime because no prime up to ā36629 ā 191.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3883rd prime is close to 3883 Ć ln(3883) ā 32091, and here it is 36629.
- 4
36629 has no twin: neither 36627 nor 36631 is prime.
Primes around the 3883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
| 3883 | 36629 | 22 |
| 3884 | 36637 | 8 |
| 3885 | 36643 | 6 |
| 3886 | 36653 | 10 |
Questions
What is the 3883rd prime number?
36629.
Which prime number is 36629?
36629 is the 3883rd prime number.
What is the sum of the first 3883 primes?
66,913,964.