What is the 3884th prime number?
The 3884th prime number is 36637. The next prime is 36643 (a gap of 6) and the one before is 36629.
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 3884th one is 36637.
- 2
36637 is prime because no prime up to ā36637 ā 191.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3884th prime is close to 3884 Ć ln(3884) ā 32100, and here it is 36637.
- 4
36637 has no twin: neither 36635 nor 36639 is prime.
Primes around the 3884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
| 3883 | 36629 | 22 |
| 3884 | 36637 | 8 |
| 3885 | 36643 | 6 |
| 3886 | 36653 | 10 |
| 3887 | 36671 | 18 |
Questions
What is the 3884th prime number?
36637.
Which prime number is 36637?
36637 is the 3884th prime number.
What is the sum of the first 3884 primes?
66,950,601.