What is the 5556th prime number?
The 5556th prime number is 54583. The next prime is 54601 (a gap of 18) and the one before is 54581.
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 5556th one is 54583.
- 2
54583 is prime because no prime up to ā54583 ā 233.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5556th prime is close to 5556 Ć ln(5556) ā 47907, and here it is 54583.
- 4
54583 is a twin prime: 54581 and 54583 are both prime.
Primes around the 5556th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
Questions
What is the 5556th prime number?
54583.
Which prime number is 54583?
54583 is the 5556th prime number.
What is the sum of the first 5556 primes?
143,141,135.