What is the 4206th prime number?
The 4206th prime number is 40031. The next prime is 40037 (a gap of 6) and the one before is 40013.
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 4206th one is 40031.
- 2
40031 is prime because no prime up to ā40031 ā 200.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4206th prime is close to 4206 Ć ln(4206) ā 35096, and here it is 40031.
- 4
40031 has no twin: neither 40029 nor 40033 is prime.
Primes around the 4206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4203 | 39989 | 6 |
| 4204 | 40009 | 20 |
| 4205 | 40013 | 4 |
| 4206 | 40031 | 18 |
| 4207 | 40037 | 6 |
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
Questions
What is the 4206th prime number?
40031.
Which prime number is 40031?
40031 is the 4206th prime number.
What is the sum of the first 4206 primes?
79,290,719.