What is the 5555th prime number?
The 5555th prime number is 54581. The next prime is 54583 (a gap of 2) and the one before is 54577.
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 5555th one is 54581.
- 2
54581 is prime because no prime up to ā54581 ā 233.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5555th prime is close to 5555 Ć ln(5555) ā 47898, and here it is 54581.
- 4
54581 is a twin prime: 54581 and 54583 are both prime.
Primes around the 5555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
Questions
What is the 5555th prime number?
54581.
Which prime number is 54581?
54581 is the 5555th prime number.
What is the sum of the first 5555 primes?
143,086,552.