What is the 9883rd prime number?
The 9883rd prime number is 103399. The next prime is 103409 (a gap of 10) and the one before is 103393.
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 9883rd one is 103399.
- 2
103399 is prime because no prime up to ā103399 ā 321.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9883rd prime is close to 9883 Ć ln(9883) ā 90909, and here it is 103399.
- 4
103399 has no twin: neither 103397 nor 103401 is prime.
Primes around the 9883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9880 | 103387 | 30 |
| 9881 | 103391 | 4 |
| 9882 | 103393 | 2 |
| 9883 | 103399 | 6 |
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
Questions
What is the 9883rd prime number?
103399.
Which prime number is 103399?
103399 is the 9883rd prime number.
What is the sum of the first 9883 primes?
483,986,224.