What is the 9890th prime number?
The 9890th prime number is 103483. The next prime is 103511 (a gap of 28) and the one before is 103471.
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 9890th one is 103483.
- 2
103483 is prime because no prime up to ā103483 ā 321.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9890th prime is close to 9890 Ć ln(9890) ā 90981, and here it is 103483.
- 4
103483 has no twin: neither 103481 nor 103485 is prime.
Primes around the 9890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
| 9890 | 103483 | 12 |
| 9891 | 103511 | 28 |
| 9892 | 103529 | 18 |
| 9893 | 103549 | 20 |
Questions
What is the 9890th prime number?
103483.
Which prime number is 103483?
103483 is the 9890th prime number.
What is the sum of the first 9890 primes?
484,710,339.