What is the 5639th prime number?
The 5639th prime number is 55589. The next prime is 55603 (a gap of 14) and the one before is 55579.
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 5639th one is 55589.
- 2
55589 is prime because no prime up to ā55589 ā 235.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5639th prime is close to 5639 Ć ln(5639) ā 48707, and here it is 55589.
- 4
55589 has no twin: neither 55587 nor 55591 is prime.
Primes around the 5639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5636 | 55541 | 12 |
| 5637 | 55547 | 6 |
| 5638 | 55579 | 32 |
| 5639 | 55589 | 10 |
| 5640 | 55603 | 14 |
| 5641 | 55609 | 6 |
| 5642 | 55619 | 10 |
Questions
What is the 5639th prime number?
55589.
Which prime number is 55589?
55589 is the 5639th prime number.
What is the sum of the first 5639 primes?
147,712,762.