What is the 5093rd prime number?
The 5093rd prime number is 49559. The next prime is 49597 (a gap of 38) and the one before is 49549.
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 5093rd one is 49559.
- 2
49559 is prime because no prime up to ā49559 ā 222.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5093rd prime is close to 5093 Ć ln(5093) ā 43472, and here it is 49559.
- 4
49559 has no twin: neither 49557 nor 49561 is prime.
Primes around the 5093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
| 5093 | 49559 | 10 |
| 5094 | 49597 | 38 |
| 5095 | 49603 | 6 |
| 5096 | 49613 | 10 |
Questions
What is the 5093rd prime number?
49559.
Which prime number is 49559?
49559 is the 5093rd prime number.
What is the sum of the first 5093 primes?
119,021,504.