What is the 4111th prime number?
The 4111th prime number is 39043. The next prime is 39047 (a gap of 4) and the one before is 39041.
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 4111th one is 39043.
- 2
39043 is prime because no prime up to ā39043 ā 197.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4111th prime is close to 4111 Ć ln(4111) ā 34209, and here it is 39043.
- 4
39043 is a twin prime: 39041 and 39043 are both prime.
Primes around the 4111th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
| 4112 | 39047 | 4 |
| 4113 | 39079 | 32 |
| 4114 | 39089 | 10 |
Questions
What is the 4111th prime number?
39043.
Which prime number is 39043?
39043 is the 4111th prime number.
What is the sum of the first 4111 primes?
75,535,014.