What is the 5633rd prime number?
The 5633rd prime number is 55501. The next prime is 55511 (a gap of 10) and the one before is 55487.
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 5633rd one is 55501.
- 2
55501 is prime because no prime up to ā55501 ā 235.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5633rd prime is close to 5633 Ć ln(5633) ā 48649, and here it is 55501.
- 4
55501 has no twin: neither 55499 nor 55503 is prime.
Primes around the 5633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5630 | 55457 | 16 |
| 5631 | 55469 | 12 |
| 5632 | 55487 | 18 |
| 5633 | 55501 | 14 |
| 5634 | 55511 | 10 |
| 5635 | 55529 | 18 |
| 5636 | 55541 | 12 |
Questions
What is the 5633rd prime number?
55501.
Which prime number is 55501?
55501 is the 5633rd prime number.
What is the sum of the first 5633 primes?
147,379,466.