What is the 9955th prime number?
The 9955th prime number is 104233. The next prime is 104239 (a gap of 6) and the one before is 104231.
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 9955th one is 104233.
- 2
104233 is prime because no prime up to ā104233 ā 322.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9955th prime is close to 9955 Ć ln(9955) ā 91644, and here it is 104233.
- 4
104233 is a twin prime: 104231 and 104233 are both prime.
Primes around the 9955th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
| 9958 | 104281 | 38 |
Questions
What is the 9955th prime number?
104233.
Which prime number is 104233?
104233 is the 9955th prime number.
What is the sum of the first 9955 primes?
491,462,588.