What is the 4009th prime number?
The 4009th prime number is 37907. The next prime is 37951 (a gap of 44) and the one before is 37897.
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 4009th one is 37907.
- 2
37907 is prime because no prime up to ā37907 ā 194.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4009th prime is close to 4009 Ć ln(4009) ā 33260, and here it is 37907.
- 4
37907 has no twin: neither 37905 nor 37909 is prime.
Primes around the 4009th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4006 | 37879 | 8 |
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
| 4011 | 37957 | 6 |
| 4012 | 37963 | 6 |
Questions
What is the 4009th prime number?
37907.
Which prime number is 37907?
37907 is the 4009th prime number.
What is the sum of the first 4009 primes?
71,607,742.