What is the 5312th prime number?
The 5312th prime number is 51913. The next prime is 51929 (a gap of 16) and the one before is 51907.
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 5312th one is 51913.
- 2
51913 is prime because no prime up to ā51913 ā 227.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5312th prime is close to 5312 Ć ln(5312) ā 45565, and here it is 51913.
- 4
51913 has no twin: neither 51911 nor 51915 is prime.
Primes around the 5312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
Questions
What is the 5312th prime number?
51913.
Which prime number is 51913?
51913 is the 5312th prime number.
What is the sum of the first 5312 primes?
130,139,253.