What is the 4869th prime number?
The 4869th prime number is 47207. The next prime is 47221 (a gap of 14) and the one before is 47189.
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 4869th one is 47207.
- 2
47207 is prime because no prime up to ā47207 ā 217.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4869th prime is close to 4869 Ć ln(4869) ā 41341, and here it is 47207.
- 4
47207 has no twin: neither 47205 nor 47209 is prime.
Primes around the 4869th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4866 | 47149 | 2 |
| 4867 | 47161 | 12 |
| 4868 | 47189 | 28 |
| 4869 | 47207 | 18 |
| 4870 | 47221 | 14 |
| 4871 | 47237 | 16 |
| 4872 | 47251 | 14 |
Questions
What is the 4869th prime number?
47207.
Which prime number is 47207?
47207 is the 4869th prime number.
What is the sum of the first 4869 primes?
108,179,738.