What is the 9940th prime number?
The 9940th prime number is 104059. The next prime is 104087 (a gap of 28) and the one before is 104053.
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 9940th one is 104059.
- 2
104059 is prime because no prime up to ā104059 ā 322.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9940th prime is close to 9940 Ć ln(9940) ā 91491, and here it is 104059.
- 4
104059 has no twin: neither 104057 nor 104061 is prime.
Primes around the 9940th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9937 | 104033 | 12 |
| 9938 | 104047 | 14 |
| 9939 | 104053 | 6 |
| 9940 | 104059 | 6 |
| 9941 | 104087 | 28 |
| 9942 | 104089 | 2 |
| 9943 | 104107 | 18 |
Questions
What is the 9940th prime number?
104059.
Which prime number is 104059?
104059 is the 9940th prime number.
What is the sum of the first 9940 primes?
489,900,287.