What is the 5554th prime number?
The 5554th prime number is 54577. The next prime is 54581 (a gap of 4) and the one before is 54563.
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 5554th one is 54577.
- 2
54577 is prime because no prime up to ā54577 ā 233.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5554th prime is close to 5554 Ć ln(5554) ā 47888, and here it is 54577.
- 4
54577 has no twin: neither 54575 nor 54579 is prime.
Primes around the 5554th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5551 | 54547 | 6 |
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
Questions
What is the 5554th prime number?
54577.
Which prime number is 54577?
54577 is the 5554th prime number.
What is the sum of the first 5554 primes?
143,031,971.