What is the 5315th prime number?
The 5315th prime number is 51949. The next prime is 51971 (a gap of 22) and the one before is 51941.
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 5315th one is 51949.
- 2
51949 is prime because no prime up to ā51949 ā 227.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5315th prime is close to 5315 Ć ln(5315) ā 45594, and here it is 51949.
- 4
51949 has no twin: neither 51947 nor 51951 is prime.
Primes around the 5315th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5312 | 51913 | 6 |
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
| 5316 | 51971 | 22 |
| 5317 | 51973 | 2 |
| 5318 | 51977 | 4 |
Questions
What is the 5315th prime number?
51949.
Which prime number is 51949?
51949 is the 5315th prime number.
What is the sum of the first 5315 primes?
130,295,072.