What is the 9790th prime number?
The 9790th prime number is 102217. The next prime is 102229 (a gap of 12) and the one before is 102203.
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 9790th one is 102217.
- 2
102217 is prime because no prime up to ā102217 ā 319.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9790th prime is close to 9790 Ć ln(9790) ā 89961, and here it is 102217.
- 4
102217 has no twin: neither 102215 nor 102219 is prime.
Primes around the 9790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9787 | 102197 | 6 |
| 9788 | 102199 | 2 |
| 9789 | 102203 | 4 |
| 9790 | 102217 | 14 |
| 9791 | 102229 | 12 |
| 9792 | 102233 | 4 |
| 9793 | 102241 | 8 |
Questions
What is the 9790th prime number?
102217.
Which prime number is 102217?
102217 is the 9790th prime number.
What is the sum of the first 9790 primes?
474,427,209.