What is the 5558th prime number?
The 5558th prime number is 54617. The next prime is 54623 (a gap of 6) and the one before is 54601.
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 5558th one is 54617.
- 2
54617 is prime because no prime up to ā54617 ā 233.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5558th prime is close to 5558 Ć ln(5558) ā 47927, and here it is 54617.
- 4
54617 has no twin: neither 54615 nor 54619 is prime.
Primes around the 5558th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5555 | 54581 | 4 |
| 5556 | 54583 | 2 |
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
Questions
What is the 5558th prime number?
54617.
Which prime number is 54617?
54617 is the 5558th prime number.
What is the sum of the first 5558 primes?
143,250,353.