What is the 4005th prime number?
The 4005th prime number is 37871. The next prime is 37879 (a gap of 8) and the one before is 37861.
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 4005th one is 37871.
- 2
37871 is prime because no prime up to ā37871 ā 194.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4005th prime is close to 4005 Ć ln(4005) ā 33223, and here it is 37871.
- 4
37871 has no twin: neither 37869 nor 37873 is prime.
Primes around the 4005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4002 | 37847 | 16 |
| 4003 | 37853 | 6 |
| 4004 | 37861 | 8 |
| 4005 | 37871 | 10 |
| 4006 | 37879 | 8 |
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
Questions
What is the 4005th prime number?
37871.
Which prime number is 37871?
37871 is the 4005th prime number.
What is the sum of the first 4005 primes?
71,456,170.