What is the 4098th prime number?
The 4098th prime number is 38903. The next prime is 38917 (a gap of 14) and the one before is 38891.
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 4098th one is 38903.
- 2
38903 is prime because no prime up to ā38903 ā 197.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4098th prime is close to 4098 Ć ln(4098) ā 34088, and here it is 38903.
- 4
38903 has no twin: neither 38901 nor 38905 is prime.
Primes around the 4098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4095 | 38867 | 6 |
| 4096 | 38873 | 6 |
| 4097 | 38891 | 18 |
| 4098 | 38903 | 12 |
| 4099 | 38917 | 14 |
| 4100 | 38921 | 4 |
| 4101 | 38923 | 2 |
Questions
What is the 4098th prime number?
38903.
Which prime number is 38903?
38903 is the 4098th prime number.
What is the sum of the first 4098 primes?
75,028,341.