What is the 9906th prime number?
The 9906th prime number is 103669. The next prime is 103681 (a gap of 12) and the one before is 103657.
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 9906th one is 103669.
- 2
103669 is prime because no prime up to ā103669 ā 321.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9906th prime is close to 9906 Ć ln(9906) ā 91144, and here it is 103669.
- 4
103669 has no twin: neither 103667 nor 103671 is prime.
Primes around the 9906th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9903 | 103643 | 24 |
| 9904 | 103651 | 8 |
| 9905 | 103657 | 6 |
| 9906 | 103669 | 12 |
| 9907 | 103681 | 12 |
| 9908 | 103687 | 6 |
| 9909 | 103699 | 12 |
Questions
What is the 9906th prime number?
103669.
Which prime number is 103669?
103669 is the 9906th prime number.
What is the sum of the first 9906 primes?
486,367,785.