What is the 9961st prime number?
The 9961st prime number is 104309. The next prime is 104311 (a gap of 2) and the one before is 104297.
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 9961st one is 104309.
- 2
104309 is prime because no prime up to ā104309 ā 322.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9961st prime is close to 9961 Ć ln(9961) ā 91705, and here it is 104309.
- 4
104309 is a twin prime: 104309 and 104311 are both prime.
Primes around the 9961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9958 | 104281 | 38 |
| 9959 | 104287 | 6 |
| 9960 | 104297 | 10 |
| 9961 | 104309 | 12 |
| 9962 | 104311 | 2 |
| 9963 | 104323 | 12 |
| 9964 | 104327 | 4 |
Questions
What is the 9961st prime number?
104309.
Which prime number is 104309?
104309 is the 9961st prime number.
What is the sum of the first 9961 primes?
492,088,244.