What is the 5257th prime number?
The 5257th prime number is 51407. The next prime is 51413 (a gap of 6) and the one before is 51383.
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 5257th one is 51407.
- 2
51407 is prime because no prime up to ā51407 ā 226.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5257th prime is close to 5257 Ć ln(5257) ā 45038, and here it is 51407.
- 4
51407 has no twin: neither 51405 nor 51409 is prime.
Primes around the 5257th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5254 | 51349 | 2 |
| 5255 | 51361 | 12 |
| 5256 | 51383 | 22 |
| 5257 | 51407 | 24 |
| 5258 | 51413 | 6 |
| 5259 | 51419 | 6 |
| 5260 | 51421 | 2 |
Questions
What is the 5257th prime number?
51407.
Which prime number is 51407?
51407 is the 5257th prime number.
What is the sum of the first 5257 primes?
127,298,660.