What is the 4871st prime number?
The 4871st prime number is 47237. The next prime is 47251 (a gap of 14) and the one before is 47221.
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 4871st one is 47237.
- 2
47237 is prime because no prime up to ā47237 ā 217.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4871st prime is close to 4871 Ć ln(4871) ā 41360, and here it is 47237.
- 4
47237 has no twin: neither 47235 nor 47239 is prime.
Primes around the 4871st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
| 4874 | 47279 | 10 |
Questions
What is the 4871st prime number?
47237.
Which prime number is 47237?
47237 is the 4871st prime number.
What is the sum of the first 4871 primes?
108,274,196.