What is the 5290th prime number?
The 5290th prime number is 51683. The next prime is 51691 (a gap of 8) and the one before is 51679.
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 5290th one is 51683.
- 2
51683 is prime because no prime up to ā51683 ā 227.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5290th prime is close to 5290 Ć ln(5290) ā 45354, and here it is 51683.
- 4
51683 has no twin: neither 51681 nor 51685 is prime.
Primes around the 5290th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5287 | 51659 | 12 |
| 5288 | 51673 | 14 |
| 5289 | 51679 | 6 |
| 5290 | 51683 | 4 |
| 5291 | 51691 | 8 |
| 5292 | 51713 | 22 |
| 5293 | 51719 | 6 |
Questions
What is the 5290th prime number?
51683.
Which prime number is 51683?
51683 is the 5290th prime number.
What is the sum of the first 5290 primes?
128,999,361.