What is the 4118th prime number?
The 4118th prime number is 39113. The next prime is 39119 (a gap of 6) and the one before is 39107.
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 4118th one is 39113.
- 2
39113 is prime because no prime up to ā39113 ā 197.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4118th prime is close to 4118 Ć ln(4118) ā 34275, and here it is 39113.
- 4
39113 has no twin: neither 39111 nor 39115 is prime.
Primes around the 4118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4115 | 39097 | 8 |
| 4116 | 39103 | 6 |
| 4117 | 39107 | 4 |
| 4118 | 39113 | 6 |
| 4119 | 39119 | 6 |
| 4120 | 39133 | 14 |
| 4121 | 39139 | 6 |
Questions
What is the 4118th prime number?
39113.
Which prime number is 39113?
39113 is the 4118th prime number.
What is the sum of the first 4118 primes?
75,808,649.