What is the 5557th prime number?
The 5557th prime number is 54601. The next prime is 54617 (a gap of 16) and the one before is 54583.
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 5557th one is 54601.
- 2
54601 is prime because no prime up to ā54601 ā 233.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5557th prime is close to 5557 Ć ln(5557) ā 47917, and here it is 54601.
- 4
54601 has no twin: neither 54599 nor 54603 is prime.
Primes around the 5557th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5554 | 54577 | 14 |
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
Questions
What is the 5557th prime number?
54601.
Which prime number is 54601?
54601 is the 5557th prime number.
What is the sum of the first 5557 primes?
143,195,736.