What is the 3904th prime number?
The 3904th prime number is 36809. The next prime is 36821 (a gap of 12) and the one before is 36793.
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 3904th one is 36809.
- 2
36809 is prime because no prime up to ā36809 ā 191.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3904th prime is close to 3904 Ć ln(3904) ā 32285, and here it is 36809.
- 4
36809 has no twin: neither 36807 nor 36811 is prime.
Primes around the 3904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3901 | 36787 | 6 |
| 3902 | 36791 | 4 |
| 3903 | 36793 | 2 |
| 3904 | 36809 | 16 |
| 3905 | 36821 | 12 |
| 3906 | 36833 | 12 |
| 3907 | 36847 | 14 |
Questions
What is the 3904th prime number?
36809.
Which prime number is 36809?
36809 is the 3904th prime number.
What is the sum of the first 3904 primes?
67,685,215.