What is the 4006th prime number?
The 4006th prime number is 37879. The next prime is 37889 (a gap of 10) and the one before is 37871.
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 4006th one is 37879.
- 2
37879 is prime because no prime up to ā37879 ā 194.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4006th prime is close to 4006 Ć ln(4006) ā 33232, and here it is 37879.
- 4
37879 has no twin: neither 37877 nor 37881 is prime.
Primes around the 4006th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4003 | 37853 | 6 |
| 4004 | 37861 | 8 |
| 4005 | 37871 | 10 |
| 4006 | 37879 | 8 |
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
Questions
What is the 4006th prime number?
37879.
Which prime number is 37879?
37879 is the 4006th prime number.
What is the sum of the first 4006 primes?
71,494,049.