What is the 3872nd prime number?
The 3872nd prime number is 36527. The next prime is 36529 (a gap of 2) and the one before is 36523.
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 3872nd one is 36527.
- 2
36527 is prime because no prime up to ā36527 ā 191.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3872nd prime is close to 3872 Ć ln(3872) ā 31989, and here it is 36527.
- 4
36527 is a twin prime: 36527 and 36529 are both prime.
Primes around the 3872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3869 | 36493 | 14 |
| 3870 | 36497 | 4 |
| 3871 | 36523 | 26 |
| 3872 | 36527 | 4 |
| 3873 | 36529 | 2 |
| 3874 | 36541 | 12 |
| 3875 | 36551 | 10 |
Questions
What is the 3872nd prime number?
36527.
Which prime number is 36527?
36527 is the 3872nd prime number.
What is the sum of the first 3872 primes?
66,511,645.