What is the 4018th prime number?
The 4018th prime number is 38011. The next prime is 38039 (a gap of 28) and the one before is 37997.
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 4018th one is 38011.
- 2
38011 is prime because no prime up to ā38011 ā 194.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4018th prime is close to 4018 Ć ln(4018) ā 33344, and here it is 38011.
- 4
38011 has no twin: neither 38009 nor 38013 is prime.
Primes around the 4018th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4015 | 37991 | 4 |
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
| 4018 | 38011 | 14 |
| 4019 | 38039 | 28 |
| 4020 | 38047 | 8 |
| 4021 | 38053 | 6 |
Questions
What is the 4018th prime number?
38011.
Which prime number is 38011?
38011 is the 4018th prime number.
What is the sum of the first 4018 primes?
71,949,559.