What is the 5279th prime number?
The 5279th prime number is 51581. The next prime is 51593 (a gap of 12) and the one before is 51577.
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 5279th one is 51581.
- 2
51581 is prime because no prime up to ā51581 ā 227.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5279th prime is close to 5279 Ć ln(5279) ā 45249, and here it is 51581.
- 4
51581 has no twin: neither 51579 nor 51583 is prime.
Primes around the 5279th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5276 | 51551 | 12 |
| 5277 | 51563 | 12 |
| 5278 | 51577 | 14 |
| 5279 | 51581 | 4 |
| 5280 | 51593 | 12 |
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
Questions
What is the 5279th prime number?
51581.
Which prime number is 51581?
51581 is the 5279th prime number.
What is the sum of the first 5279 primes?
128,431,340.