What is the 5274th prime number?
The 5274th prime number is 51521. The next prime is 51539 (a gap of 18) and the one before is 51517.
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 5274th one is 51521.
- 2
51521 is prime because no prime up to ā51521 ā 226.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5274th prime is close to 5274 Ć ln(5274) ā 45201, and here it is 51521.
- 4
51521 has no twin: neither 51519 nor 51523 is prime.
Primes around the 5274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5271 | 51503 | 16 |
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
| 5276 | 51551 | 12 |
| 5277 | 51563 | 12 |
Questions
What is the 5274th prime number?
51521.
Which prime number is 51521?
51521 is the 5274th prime number.
What is the sum of the first 5274 primes?
128,173,529.