What is the 5256th prime number?
The 5256th prime number is 51383. The next prime is 51407 (a gap of 24) and the one before is 51361.
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 5256th one is 51383.
- 2
51383 is prime because no prime up to ā51383 ā 226.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5256th prime is close to 5256 Ć ln(5256) ā 45029, and here it is 51383.
- 4
51383 has no twin: neither 51381 nor 51385 is prime.
Primes around the 5256th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
| 5256 | 51383 | 22 |
| 5257 | 51407 | 24 |
| 5258 | 51413 | 6 |
| 5259 | 51419 | 6 |
Questions
What is the 5256th prime number?
51383.
Which prime number is 51383?
51383 is the 5256th prime number.
What is the sum of the first 5256 primes?
127,247,253.