What is the 9939th prime number?
The 9939th prime number is 104053. The next prime is 104059 (a gap of 6) and the one before is 104047.
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 9939th one is 104053.
- 2
104053 is prime because no prime up to ā104053 ā 322.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9939th prime is close to 9939 Ć ln(9939) ā 91481, and here it is 104053.
- 4
104053 has no twin: neither 104051 nor 104055 is prime.
Primes around the 9939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9936 | 104021 | 12 |
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
Questions
What is the 9939th prime number?
104053.
Which prime number is 104053?
104053 is the 9939th prime number.
What is the sum of the first 9939 primes?
489,796,228.