What is the 5273rd prime number?
The 5273rd prime number is 51517. The next prime is 51521 (a gap of 4) and the one before is 51511.
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 5273rd one is 51517.
- 2
51517 is prime because no prime up to ā51517 ā 226.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5273rd prime is close to 5273 Ć ln(5273) ā 45191, and here it is 51517.
- 4
51517 has no twin: neither 51515 nor 51519 is prime.
Primes around the 5273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
| 5276 | 51551 | 12 |
Questions
What is the 5273rd prime number?
51517.
Which prime number is 51517?
51517 is the 5273rd prime number.
What is the sum of the first 5273 primes?
128,122,008.