What is the 5552nd prime number?
The 5552nd prime number is 54559. The next prime is 54563 (a gap of 4) and the one before is 54547.
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 5552nd one is 54559.
- 2
54559 is prime because no prime up to ā54559 ā 233.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5552nd prime is close to 5552 Ć ln(5552) ā 47869, and here it is 54559.
- 4
54559 has no twin: neither 54557 nor 54561 is prime.
Primes around the 5552nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5549 | 54539 | 18 |
| 5550 | 54541 | 2 |
| 5551 | 54547 | 6 |
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
Questions
What is the 5552nd prime number?
54559.
Which prime number is 54559?
54559 is the 5552nd prime number.
What is the sum of the first 5552 primes?
142,922,831.