What is the 5280th prime number?
The 5280th prime number is 51593. The next prime is 51599 (a gap of 6) and the one before is 51581.
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 5280th one is 51593.
- 2
51593 is prime because no prime up to ā51593 ā 227.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5280th prime is close to 5280 Ć ln(5280) ā 45258, and here it is 51593.
- 4
51593 has no twin: neither 51591 nor 51595 is prime.
Primes around the 5280th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5277 | 51563 | 12 |
| 5278 | 51577 | 14 |
| 5279 | 51581 | 4 |
| 5280 | 51593 | 12 |
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
Questions
What is the 5280th prime number?
51593.
Which prime number is 51593?
51593 is the 5280th prime number.
What is the sum of the first 5280 primes?
128,482,933.