What is the 4117th prime number?
The 4117th prime number is 39107. The next prime is 39113 (a gap of 6) and the one before is 39103.
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 4117th one is 39107.
- 2
39107 is prime because no prime up to ā39107 ā 197.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4117th prime is close to 4117 Ć ln(4117) ā 34265, and here it is 39107.
- 4
39107 has no twin: neither 39105 nor 39109 is prime.
Primes around the 4117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4114 | 39089 | 10 |
| 4115 | 39097 | 8 |
| 4116 | 39103 | 6 |
| 4117 | 39107 | 4 |
| 4118 | 39113 | 6 |
| 4119 | 39119 | 6 |
| 4120 | 39133 | 14 |
Questions
What is the 4117th prime number?
39107.
Which prime number is 39107?
39107 is the 4117th prime number.
What is the sum of the first 4117 primes?
75,769,536.