What is the 5503rd prime number?
The 5503rd prime number is 54013. The next prime is 54037 (a gap of 24) and the one before is 54011.
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 5503rd one is 54013.
- 2
54013 is prime because no prime up to ā54013 ā 232.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5503rd prime is close to 5503 Ć ln(5503) ā 47398, and here it is 54013.
- 4
54013 is a twin prime: 54011 and 54013 are both prime.
Primes around the 5503rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5500 | 53993 | 6 |
| 5501 | 54001 | 8 |
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
Questions
What is the 5503rd prime number?
54013.
Which prime number is 54013?
54013 is the 5503rd prime number.
What is the sum of the first 5503 primes?
140,260,982.