What is the 9805th prime number?
The 9805th prime number is 102397. The next prime is 102407 (a gap of 10) and the one before is 102367.
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 9805th one is 102397.
- 2
102397 is prime because no prime up to ā102397 ā 320.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9805th prime is close to 9805 Ć ln(9805) ā 90114, and here it is 102397.
- 4
102397 has no twin: neither 102395 nor 102399 is prime.
Primes around the 9805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
| 9804 | 102367 | 8 |
| 9805 | 102397 | 30 |
| 9806 | 102407 | 10 |
| 9807 | 102409 | 2 |
| 9808 | 102433 | 24 |
Questions
What is the 9805th prime number?
102397.
Which prime number is 102397?
102397 is the 9805th prime number.
What is the sum of the first 9805 primes?
475,961,674.