What is the 4184th prime number?
The 4184th prime number is 39821. The next prime is 39827 (a gap of 6) and the one before is 39799.
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 4184th one is 39821.
- 2
39821 is prime because no prime up to ā39821 ā 199.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4184th prime is close to 4184 Ć ln(4184) ā 34890, and here it is 39821.
- 4
39821 has no twin: neither 39819 nor 39823 is prime.
Primes around the 4184th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4181 | 39779 | 10 |
| 4182 | 39791 | 12 |
| 4183 | 39799 | 8 |
| 4184 | 39821 | 22 |
| 4185 | 39827 | 6 |
| 4186 | 39829 | 2 |
| 4187 | 39839 | 10 |
Questions
What is the 4184th prime number?
39821.
Which prime number is 39821?
39821 is the 4184th prime number.
What is the sum of the first 4184 primes?
78,412,605.