What is the 9921st prime number?
The 9921st prime number is 103889. The next prime is 103903 (a gap of 14) and the one before is 103867.
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 9921st one is 103889.
- 2
103889 is prime because no prime up to ā103889 ā 322.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9921st prime is close to 9921 Ć ln(9921) ā 91297, and here it is 103889.
- 4
103889 has no twin: neither 103887 nor 103891 is prime.
Primes around the 9921st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
| 9923 | 103913 | 10 |
| 9924 | 103919 | 6 |
Questions
What is the 9921st prime number?
103889.
Which prime number is 103889?
103889 is the 9921st prime number.
What is the sum of the first 9921 primes?
487,924,536.