What is the 3876th prime number?
The 3876th prime number is 36559. The next prime is 36563 (a gap of 4) and the one before is 36551.
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 3876th one is 36559.
- 2
36559 is prime because no prime up to ā36559 ā 191.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3876th prime is close to 3876 Ć ln(3876) ā 32026, and here it is 36559.
- 4
36559 has no twin: neither 36557 nor 36561 is prime.
Primes around the 3876th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
| 3879 | 36583 | 12 |
Questions
What is the 3876th prime number?
36559.
Which prime number is 36559?
36559 is the 3876th prime number.
What is the sum of the first 3876 primes?
66,657,825.