What is the 5505th prime number?
The 5505th prime number is 54049. The next prime is 54059 (a gap of 10) and the one before is 54037.
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 5505th one is 54049.
- 2
54049 is prime because no prime up to ā54049 ā 232.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5505th prime is close to 5505 Ć ln(5505) ā 47417, and here it is 54049.
- 4
54049 has no twin: neither 54047 nor 54051 is prime.
Primes around the 5505th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
| 5506 | 54059 | 10 |
| 5507 | 54083 | 24 |
| 5508 | 54091 | 8 |
Questions
What is the 5505th prime number?
54049.
Which prime number is 54049?
54049 is the 5505th prime number.
What is the sum of the first 5505 primes?
140,369,068.