What is the 5281st prime number?
The 5281st prime number is 51599. The next prime is 51607 (a gap of 8) and the one before is 51593.
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 5281st one is 51599.
- 2
51599 is prime because no prime up to ā51599 ā 227.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5281st prime is close to 5281 Ć ln(5281) ā 45268, and here it is 51599.
- 4
51599 has no twin: neither 51597 nor 51601 is prime.
Primes around the 5281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5278 | 51577 | 14 |
| 5279 | 51581 | 4 |
| 5280 | 51593 | 12 |
| 5281 | 51599 | 6 |
| 5282 | 51607 | 8 |
| 5283 | 51613 | 6 |
| 5284 | 51631 | 18 |
Questions
What is the 5281st prime number?
51599.
Which prime number is 51599?
51599 is the 5281st prime number.
What is the sum of the first 5281 primes?
128,534,532.