What is the 5314th prime number?
The 5314th prime number is 51941. The next prime is 51949 (a gap of 8) and the one before is 51929.
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 5314th one is 51941.
- 2
51941 is prime because no prime up to ā51941 ā 227.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5314th prime is close to 5314 Ć ln(5314) ā 45584, and here it is 51941.
- 4
51941 has no twin: neither 51939 nor 51943 is prime.
Primes around the 5314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5311 | 51907 | 8 |
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
| 5316 | 51971 | 22 |
| 5317 | 51973 | 2 |
Questions
What is the 5314th prime number?
51941.
Which prime number is 51941?
51941 is the 5314th prime number.
What is the sum of the first 5314 primes?
130,243,123.