What is the 9914th prime number?
The 9914th prime number is 103801. The next prime is 103811 (a gap of 10) and the one before is 103787.
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 9914th one is 103801.
- 2
103801 is prime because no prime up to ā103801 ā 322.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9914th prime is close to 9914 Ć ln(9914) ā 91226, and here it is 103801.
- 4
103801 has no twin: neither 103799 nor 103803 is prime.
Primes around the 9914th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9911 | 103723 | 20 |
| 9912 | 103769 | 46 |
| 9913 | 103787 | 18 |
| 9914 | 103801 | 14 |
| 9915 | 103811 | 10 |
| 9916 | 103813 | 2 |
| 9917 | 103837 | 24 |
Questions
What is the 9914th prime number?
103801.
Which prime number is 103801?
103801 is the 9914th prime number.
What is the sum of the first 9914 primes?
487,197,635.