What is the 3882nd prime number?
The 3882nd prime number is 36607. The next prime is 36629 (a gap of 22) and the one before is 36599.
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 3882nd one is 36607.
- 2
36607 is prime because no prime up to ā36607 ā 191.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3882nd prime is close to 3882 Ć ln(3882) ā 32081, and here it is 36607.
- 4
36607 has no twin: neither 36605 nor 36609 is prime.
Primes around the 3882nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
| 3882 | 36607 | 8 |
| 3883 | 36629 | 22 |
| 3884 | 36637 | 8 |
| 3885 | 36643 | 6 |
Questions
What is the 3882nd prime number?
36607.
Which prime number is 36607?
36607 is the 3882nd prime number.
What is the sum of the first 3882 primes?
66,877,335.