What is the 5504th prime number?
The 5504th prime number is 54037. The next prime is 54049 (a gap of 12) and the one before is 54013.
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 5504th one is 54037.
- 2
54037 is prime because no prime up to ā54037 ā 232.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5504th prime is close to 5504 Ć ln(5504) ā 47407, and here it is 54037.
- 4
54037 has no twin: neither 54035 nor 54039 is prime.
Primes around the 5504th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5501 | 54001 | 8 |
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
Questions
What is the 5504th prime number?
54037.
Which prime number is 54037?
54037 is the 5504th prime number.
What is the sum of the first 5504 primes?
140,315,019.