What is the 9889th prime number?
The 9889th prime number is 103471. The next prime is 103483 (a gap of 12) and the one before is 103457.
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 9889th one is 103471.
- 2
103471 is prime because no prime up to ā103471 ā 321.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9889th prime is close to 9889 Ć ln(9889) ā 90971, and here it is 103471.
- 4
103471 has no twin: neither 103469 nor 103473 is prime.
Primes around the 9889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
| 9891 | 103511 | 28 |
| 9892 | 103529 | 18 |
Questions
What is the 9889th prime number?
103471.
Which prime number is 103471?
103471 is the 9889th prime number.
What is the sum of the first 9889 primes?
484,606,856.