What is the 4014th prime number?
The 4014th prime number is 37987. The next prime is 37991 (a gap of 4) and the one before is 37967.
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 4014th one is 37987.
- 2
37987 is prime because no prime up to ā37987 ā 194.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4014th prime is close to 4014 Ć ln(4014) ā 33306, and here it is 37987.
- 4
37987 has no twin: neither 37985 nor 37989 is prime.
Primes around the 4014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4011 | 37957 | 6 |
| 4012 | 37963 | 6 |
| 4013 | 37967 | 4 |
| 4014 | 37987 | 20 |
| 4015 | 37991 | 4 |
| 4016 | 37993 | 2 |
| 4017 | 37997 | 4 |
Questions
What is the 4014th prime number?
37987.
Which prime number is 37987?
37987 is the 4014th prime number.
What is the sum of the first 4014 primes?
71,797,567.