What is the 5560th prime number?
The 5560th prime number is 54629. The next prime is 54631 (a gap of 2) and the one before is 54623.
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 5560th one is 54629.
- 2
54629 is prime because no prime up to ā54629 ā 233.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5560th prime is close to 5560 Ć ln(5560) ā 47946, and here it is 54629.
- 4
54629 is a twin prime: 54629 and 54631 are both prime.
Primes around the 5560th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5557 | 54601 | 18 |
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
Questions
What is the 5560th prime number?
54629.
Which prime number is 54629?
54629 is the 5560th prime number.
What is the sum of the first 5560 primes?
143,359,605.