What is the 5562nd prime number?
The 5562nd prime number is 54647. The next prime is 54667 (a gap of 20) and the one before is 54631.
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 5562nd one is 54647.
- 2
54647 is prime because no prime up to ā54647 ā 233.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5562nd prime is close to 5562 Ć ln(5562) ā 47965, and here it is 54647.
- 4
54647 has no twin: neither 54645 nor 54649 is prime.
Primes around the 5562nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
| 5565 | 54679 | 6 |
Questions
What is the 5562nd prime number?
54647.
Which prime number is 54647?
54647 is the 5562nd prime number.
What is the sum of the first 5562 primes?
143,468,883.