What is the 4208th prime number?
The 4208th prime number is 40039. The next prime is 40063 (a gap of 24) and the one before is 40037.
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 4208th one is 40039.
- 2
40039 is prime because no prime up to ā40039 ā 200.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4208th prime is close to 4208 Ć ln(4208) ā 35115, and here it is 40039.
- 4
40039 is a twin prime: 40037 and 40039 are both prime.
Primes around the 4208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4205 | 40013 | 4 |
| 4206 | 40031 | 18 |
| 4207 | 40037 | 6 |
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
Questions
What is the 4208th prime number?
40039.
Which prime number is 40039?
40039 is the 4208th prime number.
What is the sum of the first 4208 primes?
79,370,795.