What is the 9886th prime number?
The 9886th prime number is 103423. The next prime is 103451 (a gap of 28) and the one before is 103421.
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 9886th one is 103423.
- 2
103423 is prime because no prime up to ā103423 ā 321.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9886th prime is close to 9886 Ć ln(9886) ā 90940, and here it is 103423.
- 4
103423 is a twin prime: 103421 and 103423 are both prime.
Primes around the 9886th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9883 | 103399 | 6 |
| 9884 | 103409 | 10 |
| 9885 | 103421 | 12 |
| 9886 | 103423 | 2 |
| 9887 | 103451 | 28 |
| 9888 | 103457 | 6 |
| 9889 | 103471 | 14 |
Questions
What is the 9886th prime number?
103423.
Which prime number is 103423?
103423 is the 9886th prime number.
What is the sum of the first 9886 primes?
484,296,477.