What is the 5271st prime number?
The 5271st prime number is 51503. The next prime is 51511 (a gap of 8) and the one before is 51487.
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 5271st one is 51503.
- 2
51503 is prime because no prime up to ā51503 ā 226.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5271st prime is close to 5271 Ć ln(5271) ā 45172, and here it is 51503.
- 4
51503 has no twin: neither 51501 nor 51505 is prime.
Primes around the 5271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5268 | 51479 | 6 |
| 5269 | 51481 | 2 |
| 5270 | 51487 | 6 |
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
Questions
What is the 5271st prime number?
51503.
Which prime number is 51503?
51503 is the 5271st prime number.
What is the sum of the first 5271 primes?
128,018,980.