What is the 5590th prime number?
The 5590th prime number is 54983. The next prime is 55001 (a gap of 18) and the one before is 54979.
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 5590th one is 54983.
- 2
54983 is prime because no prime up to ā54983 ā 234.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5590th prime is close to 5590 Ć ln(5590) ā 48235, and here it is 54983.
- 4
54983 has no twin: neither 54981 nor 54985 is prime.
Primes around the 5590th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
| 5592 | 55009 | 8 |
| 5593 | 55021 | 12 |
Questions
What is the 5590th prime number?
54983.
Which prime number is 54983?
54983 is the 5590th prime number.
What is the sum of the first 5590 primes?
145,004,095.