What is the 3878th prime number?
The 3878th prime number is 36571. The next prime is 36583 (a gap of 12) and the one before is 36563.
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 3878th one is 36571.
- 2
36571 is prime because no prime up to ā36571 ā 191.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3878th prime is close to 3878 Ć ln(3878) ā 32044, and here it is 36571.
- 4
36571 has no twin: neither 36569 nor 36573 is prime.
Primes around the 3878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
| 3880 | 36587 | 4 |
| 3881 | 36599 | 12 |
Questions
What is the 3878th prime number?
36571.
Which prime number is 36571?
36571 is the 3878th prime number.
What is the sum of the first 3878 primes?
66,730,959.