What is the 5634th prime number?
The 5634th prime number is 55511. The next prime is 55529 (a gap of 18) and the one before is 55501.
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 5634th one is 55511.
- 2
55511 is prime because no prime up to ā55511 ā 235.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5634th prime is close to 5634 Ć ln(5634) ā 48658, and here it is 55511.
- 4
55511 has no twin: neither 55509 nor 55513 is prime.
Primes around the 5634th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5631 | 55469 | 12 |
| 5632 | 55487 | 18 |
| 5633 | 55501 | 14 |
| 5634 | 55511 | 10 |
| 5635 | 55529 | 18 |
| 5636 | 55541 | 12 |
| 5637 | 55547 | 6 |
Questions
What is the 5634th prime number?
55511.
Which prime number is 55511?
55511 is the 5634th prime number.
What is the sum of the first 5634 primes?
147,434,977.