What is the 4101st prime number?
The 4101st prime number is 38923. The next prime is 38933 (a gap of 10) and the one before is 38921.
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 4101st one is 38923.
- 2
38923 is prime because no prime up to ā38923 ā 197.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4101st prime is close to 4101 Ć ln(4101) ā 34116, and here it is 38923.
- 4
38923 is a twin prime: 38921 and 38923 are both prime.
Primes around the 4101st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4098 | 38903 | 12 |
| 4099 | 38917 | 14 |
| 4100 | 38921 | 4 |
| 4101 | 38923 | 2 |
| 4102 | 38933 | 10 |
| 4103 | 38953 | 20 |
| 4104 | 38959 | 6 |
Questions
What is the 4101st prime number?
38923.
Which prime number is 38923?
38923 is the 4101st prime number.
What is the sum of the first 4101 primes?
75,145,102.