What is the 9892nd prime number?
The 9892nd prime number is 103529. The next prime is 103549 (a gap of 20) and the one before is 103511.
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 9892nd one is 103529.
- 2
103529 is prime because no prime up to ā103529 ā 321.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9892nd prime is close to 9892 Ć ln(9892) ā 91001, and here it is 103529.
- 4
103529 has no twin: neither 103527 nor 103531 is prime.
Primes around the 9892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
| 9891 | 103511 | 28 |
| 9892 | 103529 | 18 |
| 9893 | 103549 | 20 |
| 9894 | 103553 | 4 |
| 9895 | 103561 | 8 |
Questions
What is the 9892nd prime number?
103529.
Which prime number is 103529?
103529 is the 9892nd prime number.
What is the sum of the first 9892 primes?
484,917,379.