What is the 9628th prime number?
The 9628th prime number is 100447. The next prime is 100459 (a gap of 12) and the one before is 100417.
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 9628th one is 100447.
- 2
100447 is prime because no prime up to ā100447 ā 316.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9628th prime is close to 9628 Ć ln(9628) ā 88312, and here it is 100447.
- 4
100447 has no twin: neither 100445 nor 100449 is prime.
Primes around the 9628th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9625 | 100403 | 10 |
| 9626 | 100411 | 8 |
| 9627 | 100417 | 6 |
| 9628 | 100447 | 30 |
| 9629 | 100459 | 12 |
| 9630 | 100469 | 10 |
| 9631 | 100483 | 14 |
Questions
What is the 9628th prime number?
100447.
Which prime number is 100447?
100447 is the 9628th prime number.
What is the sum of the first 9628 primes?
458,005,129.