What is the 9922nd prime number?
The 9922nd prime number is 103903. The next prime is 103913 (a gap of 10) and the one before is 103889.
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 9922nd one is 103903.
- 2
103903 is prime because no prime up to ā103903 ā 322.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9922nd prime is close to 9922 Ć ln(9922) ā 91307, and here it is 103903.
- 4
103903 has no twin: neither 103901 nor 103905 is prime.
Primes around the 9922nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
| 9923 | 103913 | 10 |
| 9924 | 103919 | 6 |
| 9925 | 103951 | 32 |
Questions
What is the 9922nd prime number?
103903.
Which prime number is 103903?
103903 is the 9922nd prime number.
What is the sum of the first 9922 primes?
488,028,439.