What is the 4207th prime number?
The 4207th prime number is 40037. The next prime is 40039 (a gap of 2) and the one before is 40031.
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 4207th one is 40037.
- 2
40037 is prime because no prime up to ā40037 ā 200.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4207th prime is close to 4207 Ć ln(4207) ā 35105, and here it is 40037.
- 4
40037 is a twin prime: 40037 and 40039 are both prime.
Primes around the 4207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4204 | 40009 | 20 |
| 4205 | 40013 | 4 |
| 4206 | 40031 | 18 |
| 4207 | 40037 | 6 |
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
Questions
What is the 4207th prime number?
40037.
Which prime number is 40037?
40037 is the 4207th prime number.
What is the sum of the first 4207 primes?
79,330,756.