What is the 9956th prime number?
The 9956th prime number is 104239. The next prime is 104243 (a gap of 4) and the one before is 104233.
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 9956th one is 104239.
- 2
104239 is prime because no prime up to ā104239 ā 322.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9956th prime is close to 9956 Ć ln(9956) ā 91654, and here it is 104239.
- 4
104239 has no twin: neither 104237 nor 104241 is prime.
Primes around the 9956th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
Questions
What is the 9956th prime number?
104239.
Which prime number is 104239?
104239 is the 9956th prime number.
What is the sum of the first 9956 primes?
491,566,827.