What is the 5316th prime number?
The 5316th prime number is 51971. The next prime is 51973 (a gap of 2) and the one before is 51949.
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 5316th one is 51971.
- 2
51971 is prime because no prime up to ā51971 ā 227.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5316th prime is close to 5316 Ć ln(5316) ā 45603, and here it is 51971.
- 4
51971 is a twin prime: 51971 and 51973 are both prime.
Primes around the 5316th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5313 | 51929 | 16 |
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
| 5316 | 51971 | 22 |
| 5317 | 51973 | 2 |
| 5318 | 51977 | 4 |
| 5319 | 51991 | 14 |
Questions
What is the 5316th prime number?
51971.
Which prime number is 51971?
51971 is the 5316th prime number.
What is the sum of the first 5316 primes?
130,347,043.