What is the 5588th prime number?
The 5588th prime number is 54973. The next prime is 54979 (a gap of 6) and the one before is 54959.
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 5588th one is 54973.
- 2
54973 is prime because no prime up to ā54973 ā 234.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5588th prime is close to 5588 Ć ln(5588) ā 48215, and here it is 54973.
- 4
54973 has no twin: neither 54971 nor 54975 is prime.
Primes around the 5588th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5585 | 54941 | 22 |
| 5586 | 54949 | 8 |
| 5587 | 54959 | 10 |
| 5588 | 54973 | 14 |
| 5589 | 54979 | 6 |
| 5590 | 54983 | 4 |
| 5591 | 55001 | 18 |
Questions
What is the 5588th prime number?
54973.
Which prime number is 54973?
54973 is the 5588th prime number.
What is the sum of the first 5588 primes?
144,894,133.