What is the 5635th prime number?
The 5635th prime number is 55529. The next prime is 55541 (a gap of 12) and the one before is 55511.
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 5635th one is 55529.
- 2
55529 is prime because no prime up to ā55529 ā 235.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5635th prime is close to 5635 Ć ln(5635) ā 48668, and here it is 55529.
- 4
55529 has no twin: neither 55527 nor 55531 is prime.
Primes around the 5635th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5632 | 55487 | 18 |
| 5633 | 55501 | 14 |
| 5634 | 55511 | 10 |
| 5635 | 55529 | 18 |
| 5636 | 55541 | 12 |
| 5637 | 55547 | 6 |
| 5638 | 55579 | 32 |
Questions
What is the 5635th prime number?
55529.
Which prime number is 55529?
55529 is the 5635th prime number.
What is the sum of the first 5635 primes?
147,490,506.