What is the 9913th prime number?
The 9913th prime number is 103787. The next prime is 103801 (a gap of 14) and the one before is 103769.
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 9913th one is 103787.
- 2
103787 is prime because no prime up to ā103787 ā 322.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9913th prime is close to 9913 Ć ln(9913) ā 91215, and here it is 103787.
- 4
103787 has no twin: neither 103785 nor 103789 is prime.
Primes around the 9913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9910 | 103703 | 4 |
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
| 9913 | 103787 | 18 |
| 9914 | 103801 | 14 |
| 9915 | 103811 | 10 |
| 9916 | 103813 | 2 |
Questions
What is the 9913th prime number?
103787.
Which prime number is 103787?
103787 is the 9913th prime number.
What is the sum of the first 9913 primes?
487,093,834.