What is the 5586th prime number?
The 5586th prime number is 54949. The next prime is 54959 (a gap of 10) and the one before is 54941.
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 5586th one is 54949.
- 2
54949 is prime because no prime up to ā54949 ā 234.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5586th prime is close to 5586 Ć ln(5586) ā 48196, and here it is 54949.
- 4
54949 has no twin: neither 54947 nor 54951 is prime.
Primes around the 5586th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5583 | 54917 | 10 |
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
Questions
What is the 5586th prime number?
54949.
Which prime number is 54949?
54949 is the 5586th prime number.
What is the sum of the first 5586 primes?
144,784,201.