What is the 9927th prime number?
The 9927th prime number is 103967. The next prime is 103969 (a gap of 2) and the one before is 103963.
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 9927th one is 103967.
- 2
103967 is prime because no prime up to ā103967 ā 322.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9927th prime is close to 9927 Ć ln(9927) ā 91358, and here it is 103967.
- 4
103967 is a twin prime: 103967 and 103969 are both prime.
Primes around the 9927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9924 | 103919 | 6 |
| 9925 | 103951 | 32 |
| 9926 | 103963 | 12 |
| 9927 | 103967 | 4 |
| 9928 | 103969 | 2 |
| 9929 | 103979 | 10 |
| 9930 | 103981 | 2 |
Questions
What is the 9927th prime number?
103967.
Which prime number is 103967?
103967 is the 9927th prime number.
What is the sum of the first 9927 primes?
488,548,152.