What is the 9631st prime number?
The 9631st prime number is 100483. The next prime is 100493 (a gap of 10) and the one before is 100469.
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 9631st one is 100483.
- 2
100483 is prime because no prime up to ā100483 ā 316.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9631st prime is close to 9631 Ć ln(9631) ā 88343, and here it is 100483.
- 4
100483 has no twin: neither 100481 nor 100485 is prime.
Primes around the 9631st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9628 | 100447 | 30 |
| 9629 | 100459 | 12 |
| 9630 | 100469 | 10 |
| 9631 | 100483 | 14 |
| 9632 | 100493 | 10 |
| 9633 | 100501 | 8 |
| 9634 | 100511 | 10 |
Questions
What is the 9631st prime number?
100483.
Which prime number is 100483?
100483 is the 9631st prime number.
What is the sum of the first 9631 primes?
458,306,540.