What is the 9954th prime number?
The 9954th prime number is 104231. The next prime is 104233 (a gap of 2) and the one before is 104207.
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 9954th one is 104231.
- 2
104231 is prime because no prime up to ā104231 ā 322.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9954th prime is close to 9954 Ć ln(9954) ā 91634, and here it is 104231.
- 4
104231 is a twin prime: 104231 and 104233 are both prime.
Primes around the 9954th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9951 | 104179 | 6 |
| 9952 | 104183 | 4 |
| 9953 | 104207 | 24 |
| 9954 | 104231 | 24 |
| 9955 | 104233 | 2 |
| 9956 | 104239 | 6 |
| 9957 | 104243 | 4 |
Questions
What is the 9954th prime number?
104231.
Which prime number is 104231?
104231 is the 9954th prime number.
What is the sum of the first 9954 primes?
491,358,355.