What is the 9803rd prime number?
The 9803rd prime number is 102359. The next prime is 102367 (a gap of 8) and the one before is 102337.
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 9803rd one is 102359.
- 2
102359 is prime because no prime up to ā102359 ā 319.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9803rd prime is close to 9803 Ć ln(9803) ā 90094, and here it is 102359.
- 4
102359 has no twin: neither 102357 nor 102361 is prime.
Primes around the 9803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9800 | 102317 | 16 |
| 9801 | 102329 | 12 |
| 9802 | 102337 | 8 |
| 9803 | 102359 | 22 |
| 9804 | 102367 | 8 |
| 9805 | 102397 | 30 |
| 9806 | 102407 | 10 |
Questions
What is the 9803rd prime number?
102359.
Which prime number is 102359?
102359 is the 9803rd prime number.
What is the sum of the first 9803 primes?
475,756,910.