What is the 9920th prime number?
The 9920th prime number is 103867. The next prime is 103889 (a gap of 22) and the one before is 103843.
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 9920th one is 103867.
- 2
103867 is prime because no prime up to ā103867 ā 322.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9920th prime is close to 9920 Ć ln(9920) ā 91287, and here it is 103867.
- 4
103867 has no twin: neither 103865 nor 103869 is prime.
Primes around the 9920th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9917 | 103837 | 24 |
| 9918 | 103841 | 4 |
| 9919 | 103843 | 2 |
| 9920 | 103867 | 24 |
| 9921 | 103889 | 22 |
| 9922 | 103903 | 14 |
| 9923 | 103913 | 10 |
Questions
What is the 9920th prime number?
103867.
Which prime number is 103867?
103867 is the 9920th prime number.
What is the sum of the first 9920 primes?
487,820,647.