What is the 3992nd prime number?
The 3992nd prime number is 37693. The next prime is 37699 (a gap of 6) and the one before is 37691.
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 3992nd one is 37693.
- 2
37693 is prime because no prime up to ā37693 ā 194.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3992nd prime is close to 3992 Ć ln(3992) ā 33102, and here it is 37693.
- 4
37693 is a twin prime: 37691 and 37693 are both prime.
Primes around the 3992nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
| 3991 | 37691 | 28 |
| 3992 | 37693 | 2 |
| 3993 | 37699 | 6 |
| 3994 | 37717 | 18 |
| 3995 | 37747 | 30 |
Questions
What is the 3992nd prime number?
37693.
Which prime number is 37693?
37693 is the 3992nd prime number.
What is the sum of the first 3992 primes?
70,964,757.