What is the 5576th prime number?
The 5576th prime number is 54829. The next prime is 54833 (a gap of 4) and the one before is 54799.
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 5576th one is 54829.
- 2
54829 is prime because no prime up to ā54829 ā 234.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5576th prime is close to 5576 Ć ln(5576) ā 48100, and here it is 54829.
- 4
54829 has no twin: neither 54827 nor 54831 is prime.
Primes around the 5576th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
| 5576 | 54829 | 30 |
| 5577 | 54833 | 4 |
| 5578 | 54851 | 18 |
| 5579 | 54869 | 18 |
Questions
What is the 5576th prime number?
54829.
Which prime number is 54829?
54829 is the 5576th prime number.
What is the sum of the first 5576 primes?
144,235,257.