What is the 3994th prime number?
The 3994th prime number is 37717. The next prime is 37747 (a gap of 30) and the one before is 37699.
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 3994th one is 37717.
- 2
37717 is prime because no prime up to ā37717 ā 194.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3994th prime is close to 3994 Ć ln(3994) ā 33120, and here it is 37717.
- 4
37717 has no twin: neither 37715 nor 37719 is prime.
Primes around the 3994th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3991 | 37691 | 28 |
| 3992 | 37693 | 2 |
| 3993 | 37699 | 6 |
| 3994 | 37717 | 18 |
| 3995 | 37747 | 30 |
| 3996 | 37781 | 34 |
| 3997 | 37783 | 2 |
Questions
What is the 3994th prime number?
37717.
Which prime number is 37717?
37717 is the 3994th prime number.
What is the sum of the first 3994 primes?
71,040,173.