What is the 5565th prime number?
The 5565th prime number is 54679. The next prime is 54709 (a gap of 30) and the one before is 54673.
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 5565th one is 54679.
- 2
54679 is prime because no prime up to ā54679 ā 233.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5565th prime is close to 5565 Ć ln(5565) ā 47994, and here it is 54679.
- 4
54679 has no twin: neither 54677 nor 54681 is prime.
Primes around the 5565th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
| 5566 | 54709 | 30 |
| 5567 | 54713 | 4 |
| 5568 | 54721 | 8 |
Questions
What is the 5565th prime number?
54679.
Which prime number is 54679?
54679 is the 5565th prime number.
What is the sum of the first 5565 primes?
143,632,902.