What is the 9629th prime number?
The 9629th prime number is 100459. The next prime is 100469 (a gap of 10) and the one before is 100447.
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 9629th one is 100459.
- 2
100459 is prime because no prime up to ā100459 ā 316.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9629th prime is close to 9629 Ć ln(9629) ā 88322, and here it is 100459.
- 4
100459 has no twin: neither 100457 nor 100461 is prime.
Primes around the 9629th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9626 | 100411 | 8 |
| 9627 | 100417 | 6 |
| 9628 | 100447 | 30 |
| 9629 | 100459 | 12 |
| 9630 | 100469 | 10 |
| 9631 | 100483 | 14 |
| 9632 | 100493 | 10 |
Questions
What is the 9629th prime number?
100459.
Which prime number is 100459?
100459 is the 9629th prime number.
What is the sum of the first 9629 primes?
458,105,588.