What is the 5275th prime number?
The 5275th prime number is 51539. The next prime is 51551 (a gap of 12) and the one before is 51521.
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 5275th one is 51539.
- 2
51539 is prime because no prime up to ā51539 ā 227.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5275th prime is close to 5275 Ć ln(5275) ā 45211, and here it is 51539.
- 4
51539 has no twin: neither 51537 nor 51541 is prime.
Primes around the 5275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5272 | 51511 | 8 |
| 5273 | 51517 | 6 |
| 5274 | 51521 | 4 |
| 5275 | 51539 | 18 |
| 5276 | 51551 | 12 |
| 5277 | 51563 | 12 |
| 5278 | 51577 | 14 |
Questions
What is the 5275th prime number?
51539.
Which prime number is 51539?
51539 is the 5275th prime number.
What is the sum of the first 5275 primes?
128,225,068.