What is the 9632nd prime number?
The 9632nd prime number is 100493. The next prime is 100501 (a gap of 8) and the one before is 100483.
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 9632nd one is 100493.
- 2
100493 is prime because no prime up to ā100493 ā 317.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9632nd prime is close to 9632 Ć ln(9632) ā 88353, and here it is 100493.
- 4
100493 has no twin: neither 100491 nor 100495 is prime.
Primes around the 9632nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9629 | 100459 | 12 |
| 9630 | 100469 | 10 |
| 9631 | 100483 | 14 |
| 9632 | 100493 | 10 |
| 9633 | 100501 | 8 |
| 9634 | 100511 | 10 |
| 9635 | 100517 | 6 |
Questions
What is the 9632nd prime number?
100493.
Which prime number is 100493?
100493 is the 9632nd prime number.
What is the sum of the first 9632 primes?
458,407,033.