What is the 9627th prime number?
The 9627th prime number is 100417. The next prime is 100447 (a gap of 30) and the one before is 100411.
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 9627th one is 100417.
- 2
100417 is prime because no prime up to ā100417 ā 316.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9627th prime is close to 9627 Ć ln(9627) ā 88302, and here it is 100417.
- 4
100417 has no twin: neither 100415 nor 100419 is prime.
Primes around the 9627th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9624 | 100393 | 2 |
| 9625 | 100403 | 10 |
| 9626 | 100411 | 8 |
| 9627 | 100417 | 6 |
| 9628 | 100447 | 30 |
| 9629 | 100459 | 12 |
| 9630 | 100469 | 10 |
Questions
What is the 9627th prime number?
100417.
Which prime number is 100417?
100417 is the 9627th prime number.
What is the sum of the first 9627 primes?
457,904,682.