What is the 4187th prime number?
The 4187th prime number is 39839. The next prime is 39841 (a gap of 2) and the one before is 39829.
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 4187th one is 39839.
- 2
39839 is prime because no prime up to ā39839 ā 199.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4187th prime is close to 4187 Ć ln(4187) ā 34918, and here it is 39839.
- 4
39839 is a twin prime: 39839 and 39841 are both prime.
Primes around the 4187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4184 | 39821 | 22 |
| 4185 | 39827 | 6 |
| 4186 | 39829 | 2 |
| 4187 | 39839 | 10 |
| 4188 | 39841 | 2 |
| 4189 | 39847 | 6 |
| 4190 | 39857 | 10 |
Questions
What is the 4187th prime number?
39839.
Which prime number is 39839?
39839 is the 4187th prime number.
What is the sum of the first 4187 primes?
78,532,100.