What is the 5270th prime number?
The 5270th prime number is 51487. The next prime is 51503 (a gap of 16) and the one before is 51481.
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 5270th one is 51487.
- 2
51487 is prime because no prime up to ā51487 ā 226.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5270th prime is close to 5270 Ć ln(5270) ā 45163, and here it is 51487.
- 4
51487 has no twin: neither 51485 nor 51489 is prime.
Primes around the 5270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5267 | 51473 | 12 |
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
Questions
What is the 5270th prime number?
51487.
Which prime number is 51487?
51487 is the 5270th prime number.
What is the sum of the first 5270 primes?
127,967,477.