What is the 5311th prime number?
The 5311th prime number is 51907. The next prime is 51913 (a gap of 6) and the one before is 51899.
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 5311th one is 51907.
- 2
51907 is prime because no prime up to ā51907 ā 227.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5311th prime is close to 5311 Ć ln(5311) ā 45555, and here it is 51907.
- 4
51907 has no twin: neither 51905 nor 51909 is prime.
Primes around the 5311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5308 | 51871 | 2 |
| 5309 | 51893 | 22 |
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
Questions
What is the 5311th prime number?
51907.
Which prime number is 51907?
51907 is the 5311th prime number.
What is the sum of the first 5311 primes?
130,087,340.