What is the 5255th prime number?
The 5255th prime number is 51361. The next prime is 51383 (a gap of 22) and the one before is 51349.
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 5255th one is 51361.
- 2
51361 is prime because no prime up to ā51361 ā 226.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5255th prime is close to 5255 Ć ln(5255) ā 45019, and here it is 51361.
- 4
51361 has no twin: neither 51359 nor 51363 is prime.
Primes around the 5255th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
| 5256 | 51383 | 22 |
| 5257 | 51407 | 24 |
| 5258 | 51413 | 6 |
Questions
What is the 5255th prime number?
51361.
Which prime number is 51361?
51361 is the 5255th prime number.
What is the sum of the first 5255 primes?
127,195,870.