What is the 3875th prime number?
The 3875th prime number is 36551. The next prime is 36559 (a gap of 8) and the one before is 36541.
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 3875th one is 36551.
- 2
36551 is prime because no prime up to ā36551 ā 191.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3875th prime is close to 3875 Ć ln(3875) ā 32016, and here it is 36551.
- 4
36551 has no twin: neither 36549 nor 36553 is prime.
Primes around the 3875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
| 3877 | 36563 | 4 |
| 3878 | 36571 | 8 |
Questions
What is the 3875th prime number?
36551.
Which prime number is 36551?
36551 is the 3875th prime number.
What is the sum of the first 3875 primes?
66,621,266.