What is the 5277th prime number?
The 5277th prime number is 51563. The next prime is 51577 (a gap of 14) and the one before is 51551.
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 5277th one is 51563.
- 2
51563 is prime because no prime up to ā51563 ā 227.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5277th prime is close to 5277 Ć ln(5277) ā 45230, and here it is 51563.
- 4
51563 has no twin: neither 51561 nor 51565 is prime.
Primes around the 5277th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
| 5276 | 51551 | 12 |
| 5277 | 51563 | 12 |
| 5278 | 51577 | 14 |
| 5279 | 51581 | 4 |
| 5280 | 51593 | 12 |
Questions
What is the 5277th prime number?
51563.
Which prime number is 51563?
51563 is the 5277th prime number.
What is the sum of the first 5277 primes?
128,328,182.