What is the 5288th prime number?
The 5288th prime number is 51673. The next prime is 51679 (a gap of 6) and the one before is 51659.
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 5288th one is 51673.
- 2
51673 is prime because no prime up to ā51673 ā 227.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5288th prime is close to 5288 Ć ln(5288) ā 45335, and here it is 51673.
- 4
51673 has no twin: neither 51671 nor 51675 is prime.
Primes around the 5288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5285 | 51637 | 6 |
| 5286 | 51647 | 10 |
| 5287 | 51659 | 12 |
| 5288 | 51673 | 14 |
| 5289 | 51679 | 6 |
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
Questions
What is the 5288th prime number?
51673.
Which prime number is 51673?
51673 is the 5288th prime number.
What is the sum of the first 5288 primes?
128,895,999.