What is the 5276th prime number?
The 5276th prime number is 51551. The next prime is 51563 (a gap of 12) and the one before is 51539.
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 5276th one is 51551.
- 2
51551 is prime because no prime up to ā51551 ā 227.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5276th prime is close to 5276 Ć ln(5276) ā 45220, and here it is 51551.
- 4
51551 has no twin: neither 51549 nor 51553 is prime.
Primes around the 5276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
| 5276 | 51551 | 12 |
| 5277 | 51563 | 12 |
| 5278 | 51577 | 14 |
| 5279 | 51581 | 4 |
Questions
What is the 5276th prime number?
51551.
Which prime number is 51551?
51551 is the 5276th prime number.
What is the sum of the first 5276 primes?
128,276,619.