What is the 5575th prime number?
The 5575th prime number is 54799. The next prime is 54829 (a gap of 30) and the one before is 54787.
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 5575th one is 54799.
- 2
54799 is prime because no prime up to ā54799 ā 234.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5575th prime is close to 5575 Ć ln(5575) ā 48090, and here it is 54799.
- 4
54799 has no twin: neither 54797 nor 54801 is prime.
Primes around the 5575th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
| 5576 | 54829 | 30 |
| 5577 | 54833 | 4 |
| 5578 | 54851 | 18 |
Questions
What is the 5575th prime number?
54799.
Which prime number is 54799?
54799 is the 5575th prime number.
What is the sum of the first 5575 primes?
144,180,428.