What is the 4120th prime number?
The 4120th prime number is 39133. The next prime is 39139 (a gap of 6) and the one before is 39119.
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 4120th one is 39133.
- 2
39133 is prime because no prime up to ā39133 ā 197.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4120th prime is close to 4120 Ć ln(4120) ā 34293, and here it is 39133.
- 4
39133 has no twin: neither 39131 nor 39135 is prime.
Primes around the 4120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4117 | 39107 | 4 |
| 4118 | 39113 | 6 |
| 4119 | 39119 | 6 |
| 4120 | 39133 | 14 |
| 4121 | 39139 | 6 |
| 4122 | 39157 | 18 |
| 4123 | 39161 | 4 |
Questions
What is the 4120th prime number?
39133.
Which prime number is 39133?
39133 is the 4120th prime number.
What is the sum of the first 4120 primes?
75,886,901.