What is the 4015th prime number?
The 4015th prime number is 37991. The next prime is 37993 (a gap of 2) and the one before is 37987.
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 4015th one is 37991.
- 2
37991 is prime because no prime up to ā37991 ā 194.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4015th prime is close to 4015 Ć ln(4015) ā 33316, and here it is 37991.
- 4
37991 is a twin prime: 37991 and 37993 are both prime.
Primes around the 4015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4012 | 37963 | 6 |
| 4013 | 37967 | 4 |
| 4014 | 37987 | 20 |
| 4015 | 37991 | 4 |
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
Questions
What is the 4015th prime number?
37991.
Which prime number is 37991?
37991 is the 4015th prime number.
What is the sum of the first 4015 primes?
71,835,558.