What is the 4189th prime number?
The 4189th prime number is 39847. The next prime is 39857 (a gap of 10) and the one before is 39841.
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 4189th one is 39847.
- 2
39847 is prime because no prime up to ā39847 ā 199.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4189th prime is close to 4189 Ć ln(4189) ā 34937, and here it is 39847.
- 4
39847 has no twin: neither 39845 nor 39849 is prime.
Primes around the 4189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4186 | 39829 | 2 |
| 4187 | 39839 | 10 |
| 4188 | 39841 | 2 |
| 4189 | 39847 | 6 |
| 4190 | 39857 | 10 |
| 4191 | 39863 | 6 |
| 4192 | 39869 | 6 |
Questions
What is the 4189th prime number?
39847.
Which prime number is 39847?
39847 is the 4189th prime number.
What is the sum of the first 4189 primes?
78,611,788.