What is the 9942nd prime number?
The 9942nd prime number is 104089. The next prime is 104107 (a gap of 18) and the one before is 104087.
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 9942nd one is 104089.
- 2
104089 is prime because no prime up to ā104089 ā 322.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9942nd prime is close to 9942 Ć ln(9942) ā 91511, and here it is 104089.
- 4
104089 is a twin prime: 104087 and 104089 are both prime.
Primes around the 9942nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
| 9944 | 104113 | 6 |
| 9945 | 104119 | 6 |
Questions
What is the 9942nd prime number?
104089.
Which prime number is 104089?
104089 is the 9942nd prime number.
What is the sum of the first 9942 primes?
490,108,463.