What is the 5548th prime number?
The 5548th prime number is 54521. The next prime is 54539 (a gap of 18) and the one before is 54517.
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 5548th one is 54521.
- 2
54521 is prime because no prime up to ā54521 ā 233.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5548th prime is close to 5548 Ć ln(5548) ā 47830, and here it is 54521.
- 4
54521 has no twin: neither 54519 nor 54523 is prime.
Primes around the 5548th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5545 | 54499 | 2 |
| 5546 | 54503 | 4 |
| 5547 | 54517 | 14 |
| 5548 | 54521 | 4 |
| 5549 | 54539 | 18 |
| 5550 | 54541 | 2 |
| 5551 | 54547 | 6 |
Questions
What is the 5548th prime number?
54521.
Which prime number is 54521?
54521 is the 5548th prime number.
What is the sum of the first 5548 primes?
142,704,645.