What is the 4105th prime number?
The 4105th prime number is 38971. The next prime is 38977 (a gap of 6) and the one before is 38959.
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 4105th one is 38971.
- 2
38971 is prime because no prime up to ā38971 ā 197.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4105th prime is close to 4105 Ć ln(4105) ā 34153, and here it is 38971.
- 4
38971 has no twin: neither 38969 nor 38973 is prime.
Primes around the 4105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4102 | 38933 | 10 |
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
| 4108 | 39019 | 26 |
Questions
What is the 4105th prime number?
38971.
Which prime number is 38971?
38971 is the 4105th prime number.
What is the sum of the first 4105 primes?
75,300,918.