What is the 5254th prime number?
The 5254th prime number is 51349. The next prime is 51361 (a gap of 12) and the one before is 51347.
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 5254th one is 51349.
- 2
51349 is prime because no prime up to ā51349 ā 226.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5254th prime is close to 5254 Ć ln(5254) ā 45010, and here it is 51349.
- 4
51349 is a twin prime: 51347 and 51349 are both prime.
Primes around the 5254th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5251 | 51341 | 12 |
| 5252 | 51343 | 2 |
| 5253 | 51347 | 4 |
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
| 5256 | 51383 | 22 |
| 5257 | 51407 | 24 |
Questions
What is the 5254th prime number?
51349.
Which prime number is 51349?
51349 is the 5254th prime number.
What is the sum of the first 5254 primes?
127,144,509.