What is the 5573rd prime number?
The 5573rd prime number is 54779. The next prime is 54787 (a gap of 8) and the one before is 54773.
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 5573rd one is 54779.
- 2
54779 is prime because no prime up to ā54779 ā 234.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5573rd prime is close to 5573 Ć ln(5573) ā 48071, and here it is 54779.
- 4
54779 has no twin: neither 54777 nor 54781 is prime.
Primes around the 5573rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5570 | 54751 | 24 |
| 5571 | 54767 | 16 |
| 5572 | 54773 | 6 |
| 5573 | 54779 | 6 |
| 5574 | 54787 | 8 |
| 5575 | 54799 | 12 |
| 5576 | 54829 | 30 |
Questions
What is the 5573rd prime number?
54779.
Which prime number is 54779?
54779 is the 5573rd prime number.
What is the sum of the first 5573 primes?
144,070,842.