What is the 5319th prime number?
The 5319th prime number is 51991. The next prime is 52009 (a gap of 18) and the one before is 51977.
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 5319th one is 51991.
- 2
51991 is prime because no prime up to ā51991 ā 228.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5319th prime is close to 5319 Ć ln(5319) ā 45632, and here it is 51991.
- 4
51991 has no twin: neither 51989 nor 51993 is prime.
Primes around the 5319th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5316 | 51971 | 22 |
| 5317 | 51973 | 2 |
| 5318 | 51977 | 4 |
| 5319 | 51991 | 14 |
| 5320 | 52009 | 18 |
| 5321 | 52021 | 12 |
| 5322 | 52027 | 6 |
Questions
What is the 5319th prime number?
51991.
Which prime number is 51991?
51991 is the 5319th prime number.
What is the sum of the first 5319 primes?
130,502,984.