What is the 4204th prime number?
The 4204th prime number is 40009. The next prime is 40013 (a gap of 4) and the one before is 39989.
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 4204th one is 40009.
- 2
40009 is prime because no prime up to ā40009 ā 200.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4204th prime is close to 4204 Ć ln(4204) ā 35077, and here it is 40009.
- 4
40009 has no twin: neither 40007 nor 40011 is prime.
Primes around the 4204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4201 | 39979 | 8 |
| 4202 | 39983 | 4 |
| 4203 | 39989 | 6 |
| 4204 | 40009 | 20 |
| 4205 | 40013 | 4 |
| 4206 | 40031 | 18 |
| 4207 | 40037 | 6 |
Questions
What is the 4204th prime number?
40009.
Which prime number is 40009?
40009 is the 4204th prime number.
What is the sum of the first 4204 primes?
79,210,675.