What is the 4110th prime number?
The 4110th prime number is 39041. The next prime is 39043 (a gap of 2) and the one before is 39023.
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 4110th one is 39041.
- 2
39041 is prime because no prime up to ā39041 ā 197.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4110th prime is close to 4110 Ć ln(4110) ā 34200, and here it is 39041.
- 4
39041 is a twin prime: 39041 and 39043 are both prime.
Primes around the 4110th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
| 4111 | 39043 | 2 |
| 4112 | 39047 | 4 |
| 4113 | 39079 | 32 |
Questions
What is the 4110th prime number?
39041.
Which prime number is 39041?
39041 is the 4110th prime number.
What is the sum of the first 4110 primes?
75,495,971.