What is the 5551st prime number?
The 5551st prime number is 54547. The next prime is 54559 (a gap of 12) and the one before is 54541.
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 5551st one is 54547.
- 2
54547 is prime because no prime up to ā54547 ā 233.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5551st prime is close to 5551 Ć ln(5551) ā 47859, and here it is 54547.
- 4
54547 has no twin: neither 54545 nor 54549 is prime.
Primes around the 5551st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5548 | 54521 | 4 |
| 5549 | 54539 | 18 |
| 5550 | 54541 | 2 |
| 5551 | 54547 | 6 |
| 5552 | 54559 | 12 |
| 5553 | 54563 | 4 |
| 5554 | 54577 | 14 |
Questions
What is the 5551st prime number?
54547.
Which prime number is 54547?
54547 is the 5551st prime number.
What is the sum of the first 5551 primes?
142,868,272.