What is the 5313th prime number?
The 5313th prime number is 51929. The next prime is 51941 (a gap of 12) and the one before is 51913.
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 5313th one is 51929.
- 2
51929 is prime because no prime up to ā51929 ā 227.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5313th prime is close to 5313 Ć ln(5313) ā 45574, and here it is 51929.
- 4
51929 has no twin: neither 51927 nor 51931 is prime.
Primes around the 5313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5310 | 51899 | 6 |
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
| 5316 | 51971 | 22 |
Questions
What is the 5313th prime number?
51929.
Which prime number is 51929?
51929 is the 5313th prime number.
What is the sum of the first 5313 primes?
130,191,182.