What is the 4008th prime number?
The 4008th prime number is 37897. The next prime is 37907 (a gap of 10) and the one before is 37889.
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 4008th one is 37897.
- 2
37897 is prime because no prime up to ā37897 ā 194.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4008th prime is close to 4008 Ć ln(4008) ā 33251, and here it is 37897.
- 4
37897 has no twin: neither 37895 nor 37899 is prime.
Primes around the 4008th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4005 | 37871 | 10 |
| 4006 | 37879 | 8 |
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
| 4011 | 37957 | 6 |
Questions
What is the 4008th prime number?
37897.
Which prime number is 37897?
37897 is the 4008th prime number.
What is the sum of the first 4008 primes?
71,569,835.