What is the 3873rd prime number?
The 3873rd prime number is 36529. The next prime is 36541 (a gap of 12) and the one before is 36527.
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 3873rd one is 36529.
- 2
36529 is prime because no prime up to ā36529 ā 191.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3873rd prime is close to 3873 Ć ln(3873) ā 31998, and here it is 36529.
- 4
36529 is a twin prime: 36527 and 36529 are both prime.
Primes around the 3873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3870 | 36497 | 4 |
| 3871 | 36523 | 26 |
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
| 3876 | 36559 | 8 |
Questions
What is the 3873rd prime number?
36529.
Which prime number is 36529?
36529 is the 3873rd prime number.
What is the sum of the first 3873 primes?
66,548,174.