What is the 9884th prime number?
The 9884th prime number is 103409. The next prime is 103421 (a gap of 12) and the one before is 103399.
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 9884th one is 103409.
- 2
103409 is prime because no prime up to ā103409 ā 321.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9884th prime is close to 9884 Ć ln(9884) ā 90920, and here it is 103409.
- 4
103409 has no twin: neither 103407 nor 103411 is prime.
Primes around the 9884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9881 | 103391 | 4 |
| 9882 | 103393 | 2 |
| 9883 | 103399 | 6 |
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
Questions
What is the 9884th prime number?
103409.
Which prime number is 103409?
103409 is the 9884th prime number.
What is the sum of the first 9884 primes?
484,089,633.