What is the 5502nd prime number?
The 5502nd prime number is 54011. The next prime is 54013 (a gap of 2) and the one before is 54001.
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 5502nd one is 54011.
- 2
54011 is prime because no prime up to ā54011 ā 232.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5502nd prime is close to 5502 Ć ln(5502) ā 47388, and here it is 54011.
- 4
54011 is a twin prime: 54011 and 54013 are both prime.
Primes around the 5502nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5499 | 53987 | 28 |
| 5500 | 53993 | 6 |
| 5501 | 54001 | 8 |
| 5502 | 54011 | 10 |
| 5503 | 54013 | 2 |
| 5504 | 54037 | 24 |
| 5505 | 54049 | 12 |
Questions
What is the 5502nd prime number?
54011.
Which prime number is 54011?
54011 is the 5502nd prime number.
What is the sum of the first 5502 primes?
140,206,969.