What is the 4188th prime number?
The 4188th prime number is 39841. The next prime is 39847 (a gap of 6) and the one before is 39839.
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 4188th one is 39841.
- 2
39841 is prime because no prime up to ā39841 ā 199.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4188th prime is close to 4188 Ć ln(4188) ā 34928, and here it is 39841.
- 4
39841 is a twin prime: 39839 and 39841 are both prime.
Primes around the 4188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4185 | 39827 | 6 |
| 4186 | 39829 | 2 |
| 4187 | 39839 | 10 |
| 4188 | 39841 | 2 |
| 4189 | 39847 | 6 |
| 4190 | 39857 | 10 |
| 4191 | 39863 | 6 |
Questions
What is the 4188th prime number?
39841.
Which prime number is 39841?
39841 is the 4188th prime number.
What is the sum of the first 4188 primes?
78,571,941.