What is the 5500th prime number?
The 5500th prime number is 53993. The next prime is 54001 (a gap of 8) and the one before is 53987.
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 5500th one is 53993.
- 2
53993 is prime because no prime up to ā53993 ā 232.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5500th prime is close to 5500 Ć ln(5500) ā 47369, and here it is 53993.
- 4
53993 has no twin: neither 53991 nor 53995 is prime.
Primes around the 5500th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5497 | 53951 | 12 |
| 5498 | 53959 | 8 |
| 5499 | 53987 | 28 |
| 5500 | 53993 | 6 |
| 5501 | 54001 | 8 |
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
Questions
What is the 5500th prime number?
53993.
Which prime number is 53993?
53993 is the 5500th prime number.
What is the sum of the first 5500 primes?
140,098,957.