What is the 4113th prime number?
The 4113th prime number is 39079. The next prime is 39089 (a gap of 10) and the one before is 39047.
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 4113th one is 39079.
- 2
39079 is prime because no prime up to ā39079 ā 197.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4113th prime is close to 4113 Ć ln(4113) ā 34228, and here it is 39079.
- 4
39079 has no twin: neither 39077 nor 39081 is prime.
Primes around the 4113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
| 4112 | 39047 | 4 |
| 4113 | 39079 | 32 |
| 4114 | 39089 | 10 |
| 4115 | 39097 | 8 |
| 4116 | 39103 | 6 |
Questions
What is the 4113th prime number?
39079.
Which prime number is 39079?
39079 is the 4113th prime number.
What is the sum of the first 4113 primes?
75,613,140.