What is the 9620th prime number?
The 9620th prime number is 100361. The next prime is 100363 (a gap of 2) and the one before is 100357.
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 9620th one is 100361.
- 2
100361 is prime because no prime up to ā100361 ā 316.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9620th prime is close to 9620 Ć ln(9620) ā 88231, and here it is 100361.
- 4
100361 is a twin prime: 100361 and 100363 are both prime.
Primes around the 9620th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9617 | 100333 | 20 |
| 9618 | 100343 | 10 |
| 9619 | 100357 | 14 |
| 9620 | 100361 | 4 |
| 9621 | 100363 | 2 |
| 9622 | 100379 | 16 |
| 9623 | 100391 | 12 |
Questions
What is the 9620th prime number?
100361.
Which prime number is 100361?
100361 is the 9620th prime number.
What is the sum of the first 9620 primes?
457,201,925.