What is the 9825th prime number?
The 9825th prime number is 102607. The next prime is 102611 (a gap of 4) and the one before is 102593.
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 9825th one is 102607.
- 2
102607 is prime because no prime up to ā102607 ā 320.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9825th prime is close to 9825 Ć ln(9825) ā 90318, and here it is 102607.
- 4
102607 has no twin: neither 102605 nor 102609 is prime.
Primes around the 9825th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9822 | 102563 | 4 |
| 9823 | 102587 | 24 |
| 9824 | 102593 | 6 |
| 9825 | 102607 | 14 |
| 9826 | 102611 | 4 |
| 9827 | 102643 | 32 |
| 9828 | 102647 | 4 |
Questions
What is the 9825th prime number?
102607.
Which prime number is 102607?
102607 is the 9825th prime number.
What is the sum of the first 9825 primes?
478,011,854.