What is the 9904th prime number?
The 9904th prime number is 103651. The next prime is 103657 (a gap of 6) and the one before is 103643.
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 9904th one is 103651.
- 2
103651 is prime because no prime up to ā103651 ā 321.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9904th prime is close to 9904 Ć ln(9904) ā 91124, and here it is 103651.
- 4
103651 has no twin: neither 103649 nor 103653 is prime.
Primes around the 9904th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9901 | 103613 | 22 |
| 9902 | 103619 | 6 |
| 9903 | 103643 | 24 |
| 9904 | 103651 | 8 |
| 9905 | 103657 | 6 |
| 9906 | 103669 | 12 |
| 9907 | 103681 | 12 |
Questions
What is the 9904th prime number?
103651.
Which prime number is 103651?
103651 is the 9904th prime number.
What is the sum of the first 9904 primes?
486,160,459.