What is the 5317th prime number?
The 5317th prime number is 51973. The next prime is 51977 (a gap of 4) and the one before is 51971.
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 5317th one is 51973.
- 2
51973 is prime because no prime up to ā51973 ā 227.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5317th prime is close to 5317 Ć ln(5317) ā 45613, and here it is 51973.
- 4
51973 is a twin prime: 51971 and 51973 are both prime.
Primes around the 5317th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5314 | 51941 | 12 |
| 5315 | 51949 | 8 |
| 5316 | 51971 | 22 |
| 5317 | 51973 | 2 |
| 5318 | 51977 | 4 |
| 5319 | 51991 | 14 |
| 5320 | 52009 | 18 |
Questions
What is the 5317th prime number?
51973.
Which prime number is 51973?
51973 is the 5317th prime number.
What is the sum of the first 5317 primes?
130,399,016.