What is the 5501st prime number?
The 5501st prime number is 54001. The next prime is 54011 (a gap of 10) and the one before is 53993.
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 5501st one is 54001.
- 2
54001 is prime because no prime up to ā54001 ā 232.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5501st prime is close to 5501 Ć ln(5501) ā 47378, and here it is 54001.
- 4
54001 has no twin: neither 53999 nor 54003 is prime.
Primes around the 5501st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5498 | 53959 | 8 |
| 5499 | 53987 | 28 |
| 5500 | 53993 | 6 |
| 5501 | 54001 | 8 |
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
Questions
What is the 5501st prime number?
54001.
Which prime number is 54001?
54001 is the 5501st prime number.
What is the sum of the first 5501 primes?
140,152,958.