What is the 5272nd prime number?
The 5272nd prime number is 51511. The next prime is 51517 (a gap of 6) and the one before is 51503.
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 5272nd one is 51511.
- 2
51511 is prime because no prime up to ā51511 ā 226.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5272nd prime is close to 5272 Ć ln(5272) ā 45182, and here it is 51511.
- 4
51511 has no twin: neither 51509 nor 51513 is prime.
Primes around the 5272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
Questions
What is the 5272nd prime number?
51511.
Which prime number is 51511?
51511 is the 5272nd prime number.
What is the sum of the first 5272 primes?
128,070,491.