What is the 4209th prime number?
The 4209th prime number is 40063. The next prime is 40087 (a gap of 24) and the one before is 40039.
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 4209th one is 40063.
- 2
40063 is prime because no prime up to ā40063 ā 200.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4209th prime is close to 4209 Ć ln(4209) ā 35124, and here it is 40063.
- 4
40063 has no twin: neither 40061 nor 40065 is prime.
Primes around the 4209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4206 | 40031 | 18 |
| 4207 | 40037 | 6 |
| 4208 | 40039 | 2 |
| 4209 | 40063 | 24 |
| 4210 | 40087 | 24 |
| 4211 | 40093 | 6 |
| 4212 | 40099 | 6 |
Questions
What is the 4209th prime number?
40063.
Which prime number is 40063?
40063 is the 4209th prime number.
What is the sum of the first 4209 primes?
79,410,858.