What is the 5550th prime number?
The 5550th prime number is 54541. The next prime is 54547 (a gap of 6) and the one before is 54539.
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 5550th one is 54541.
- 2
54541 is prime because no prime up to ā54541 ā 233.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5550th prime is close to 5550 Ć ln(5550) ā 47850, and here it is 54541.
- 4
54541 is a twin prime: 54539 and 54541 are both prime.
Primes around the 5550th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5547 | 54517 | 14 |
| 5548 | 54521 | 4 |
| 5549 | 54539 | 18 |
| 5550 | 54541 | 2 |
| 5551 | 54547 | 6 |
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
Questions
What is the 5550th prime number?
54541.
Which prime number is 54541?
54541 is the 5550th prime number.
What is the sum of the first 5550 primes?
142,813,725.