What is the 4870th prime number?
The 4870th prime number is 47221. The next prime is 47237 (a gap of 16) and the one before is 47207.
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 4870th one is 47221.
- 2
47221 is prime because no prime up to ā47221 ā 217.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4870th prime is close to 4870 Ć ln(4870) ā 41350, and here it is 47221.
- 4
47221 has no twin: neither 47219 nor 47223 is prime.
Primes around the 4870th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
| 4873 | 47269 | 18 |
Questions
What is the 4870th prime number?
47221.
Which prime number is 47221?
47221 is the 4870th prime number.
What is the sum of the first 4870 primes?
108,226,959.