What is the 4104th prime number?
The 4104th prime number is 38959. The next prime is 38971 (a gap of 12) and the one before is 38953.
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 4104th one is 38959.
- 2
38959 is prime because no prime up to ā38959 ā 197.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4104th prime is close to 4104 Ć ln(4104) ā 34144, and here it is 38959.
- 4
38959 has no twin: neither 38957 nor 38961 is prime.
Primes around the 4104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4101 | 38923 | 2 |
| 4102 | 38933 | 10 |
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
| 4106 | 38977 | 6 |
| 4107 | 38993 | 16 |
Questions
What is the 4104th prime number?
38959.
Which prime number is 38959?
38959 is the 4104th prime number.
What is the sum of the first 4104 primes?
75,261,947.