What is the 4016th prime number?
The 4016th prime number is 37993. The next prime is 37997 (a gap of 4) and the one before is 37991.
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 4016th one is 37993.
- 2
37993 is prime because no prime up to ā37993 ā 194.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4016th prime is close to 4016 Ć ln(4016) ā 33325, and here it is 37993.
- 4
37993 is a twin prime: 37991 and 37993 are both prime.
Primes around the 4016th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4013 | 37967 | 4 |
| 4014 | 37987 | 20 |
| 4015 | 37991 | 4 |
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
Questions
What is the 4016th prime number?
37993.
Which prime number is 37993?
37993 is the 4016th prime number.
What is the sum of the first 4016 primes?
71,873,551.