What is the 5585th prime number?
The 5585th prime number is 54941. The next prime is 54949 (a gap of 8) and the one before is 54919.
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 5585th one is 54941.
- 2
54941 is prime because no prime up to ā54941 ā 234.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5585th prime is close to 5585 Ć ln(5585) ā 48186, and here it is 54941.
- 4
54941 has no twin: neither 54939 nor 54943 is prime.
Primes around the 5585th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5582 | 54907 | 26 |
| 5583 | 54917 | 10 |
| 5584 | 54919 | 2 |
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
Questions
What is the 5585th prime number?
54941.
Which prime number is 54941?
54941 is the 5585th prime number.
What is the sum of the first 5585 primes?
144,729,252.