What is the 4107th prime number?
The 4107th prime number is 38993. The next prime is 39019 (a gap of 26) and the one before is 38977.
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 4107th one is 38993.
- 2
38993 is prime because no prime up to ā38993 ā 197.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4107th prime is close to 4107 Ć ln(4107) ā 34172, and here it is 38993.
- 4
38993 has no twin: neither 38991 nor 38995 is prime.
Primes around the 4107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
| 4109 | 39023 | 4 |
| 4110 | 39041 | 18 |
Questions
What is the 4107th prime number?
38993.
Which prime number is 38993?
38993 is the 4107th prime number.
What is the sum of the first 4107 primes?
75,378,888.