What is the 4872nd prime number?
The 4872nd prime number is 47251. The next prime is 47269 (a gap of 18) and the one before is 47237.
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 4872nd one is 47251.
- 2
47251 is prime because no prime up to ā47251 ā 217.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4872nd prime is close to 4872 Ć ln(4872) ā 41369, and here it is 47251.
- 4
47251 has no twin: neither 47249 nor 47253 is prime.
Primes around the 4872nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
| 4875 | 47287 | 8 |
Questions
What is the 4872nd prime number?
47251.
Which prime number is 47251?
47251 is the 4872nd prime number.
What is the sum of the first 4872 primes?
108,321,447.