What is the 4017th prime number?
The 4017th prime number is 37997. The next prime is 38011 (a gap of 14) and the one before is 37993.
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 4017th one is 37997.
- 2
37997 is prime because no prime up to ā37997 ā 194.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4017th prime is close to 4017 Ć ln(4017) ā 33334, and here it is 37997.
- 4
37997 has no twin: neither 37995 nor 37999 is prime.
Primes around the 4017th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4014 | 37987 | 20 |
| 4015 | 37991 | 4 |
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
Questions
What is the 4017th prime number?
37997.
Which prime number is 37997?
37997 is the 4017th prime number.
What is the sum of the first 4017 primes?
71,911,548.