What is the 4007th prime number?
The 4007th prime number is 37889. The next prime is 37897 (a gap of 8) and the one before is 37879.
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 4007th one is 37889.
- 2
37889 is prime because no prime up to ā37889 ā 194.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4007th prime is close to 4007 Ć ln(4007) ā 33241, and here it is 37889.
- 4
37889 has no twin: neither 37887 nor 37891 is prime.
Primes around the 4007th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4004 | 37861 | 8 |
| 4005 | 37871 | 10 |
| 4006 | 37879 | 8 |
| 4007 | 37889 | 10 |
| 4008 | 37897 | 8 |
| 4009 | 37907 | 10 |
| 4010 | 37951 | 44 |
Questions
What is the 4007th prime number?
37889.
Which prime number is 37889?
37889 is the 4007th prime number.
What is the sum of the first 4007 primes?
71,531,938.