What is the 4102nd prime number?
The 4102nd prime number is 38933. The next prime is 38953 (a gap of 20) and the one before is 38923.
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 4102nd one is 38933.
- 2
38933 is prime because no prime up to ā38933 ā 197.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4102nd prime is close to 4102 Ć ln(4102) ā 34125, and here it is 38933.
- 4
38933 has no twin: neither 38931 nor 38935 is prime.
Primes around the 4102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4099 | 38917 | 14 |
| 4100 | 38921 | 4 |
| 4101 | 38923 | 2 |
| 4102 | 38933 | 10 |
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
| 4105 | 38971 | 12 |
Questions
What is the 4102nd prime number?
38933.
Which prime number is 38933?
38933 is the 4102nd prime number.
What is the sum of the first 4102 primes?
75,184,035.