What is the 3991st prime number?
The 3991st prime number is 37691. The next prime is 37693 (a gap of 2) and the one before is 37663.
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 3991st one is 37691.
- 2
37691 is prime because no prime up to ā37691 ā 194.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3991st prime is close to 3991 Ć ln(3991) ā 33093, and here it is 37691.
- 4
37691 is a twin prime: 37691 and 37693 are both prime.
Primes around the 3991st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3988 | 37649 | 6 |
| 3989 | 37657 | 8 |
| 3990 | 37663 | 6 |
| 3991 | 37691 | 28 |
| 3992 | 37693 | 2 |
| 3993 | 37699 | 6 |
| 3994 | 37717 | 18 |
Questions
What is the 3991st prime number?
37691.
Which prime number is 37691?
37691 is the 3991st prime number.
What is the sum of the first 3991 primes?
70,927,064.