What is the 5561st prime number?
The 5561st prime number is 54631. The next prime is 54647 (a gap of 16) and the one before is 54629.
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 5561st one is 54631.
- 2
54631 is prime because no prime up to ā54631 ā 233.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5561st prime is close to 5561 Ć ln(5561) ā 47955, and here it is 54631.
- 4
54631 is a twin prime: 54629 and 54631 are both prime.
Primes around the 5561st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5558 | 54617 | 16 |
| 5559 | 54623 | 6 |
| 5560 | 54629 | 6 |
| 5561 | 54631 | 2 |
| 5562 | 54647 | 16 |
| 5563 | 54667 | 20 |
| 5564 | 54673 | 6 |
Questions
What is the 5561st prime number?
54631.
Which prime number is 54631?
54631 is the 5561st prime number.
What is the sum of the first 5561 primes?
143,414,236.