What is the 5564th prime number?
The 5564th prime number is 54673. The next prime is 54679 (a gap of 6) and the one before is 54667.
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 5564th one is 54673.
- 2
54673 is prime because no prime up to ā54673 ā 233.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5564th prime is close to 5564 Ć ln(5564) ā 47984, and here it is 54673.
- 4
54673 has no twin: neither 54671 nor 54675 is prime.
Primes around the 5564th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
| 5566 | 54709 | 30 |
| 5567 | 54713 | 4 |
Questions
What is the 5564th prime number?
54673.
Which prime number is 54673?
54673 is the 5564th prime number.
What is the sum of the first 5564 primes?
143,578,223.