What is the 3995th prime number?
The 3995th prime number is 37747. The next prime is 37781 (a gap of 34) and the one before is 37717.
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 3995th one is 37747.
- 2
37747 is prime because no prime up to ā37747 ā 194.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3995th prime is close to 3995 Ć ln(3995) ā 33130, and here it is 37747.
- 4
37747 has no twin: neither 37745 nor 37749 is prime.
Primes around the 3995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3992 | 37693 | 2 |
| 3993 | 37699 | 6 |
| 3994 | 37717 | 18 |
| 3995 | 37747 | 30 |
| 3996 | 37781 | 34 |
| 3997 | 37783 | 2 |
| 3998 | 37799 | 16 |
Questions
What is the 3995th prime number?
37747.
Which prime number is 37747?
37747 is the 3995th prime number.
What is the sum of the first 3995 primes?
71,077,920.