What is the 5638th prime number?
The 5638th prime number is 55579. The next prime is 55589 (a gap of 10) and the one before is 55547.
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 5638th one is 55579.
- 2
55579 is prime because no prime up to ā55579 ā 235.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5638th prime is close to 5638 Ć ln(5638) ā 48697, and here it is 55579.
- 4
55579 has no twin: neither 55577 nor 55581 is prime.
Primes around the 5638th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5635 | 55529 | 18 |
| 5636 | 55541 | 12 |
| 5637 | 55547 | 6 |
| 5638 | 55579 | 32 |
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
Questions
What is the 5638th prime number?
55579.
Which prime number is 55579?
55579 is the 5638th prime number.
What is the sum of the first 5638 primes?
147,657,173.