What is the 5094th prime number?
The 5094th prime number is 49597. The next prime is 49603 (a gap of 6) and the one before is 49559.
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 5094th one is 49597.
- 2
49597 is prime because no prime up to ā49597 ā 222.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5094th prime is close to 5094 Ć ln(5094) ā 43481, and here it is 49597.
- 4
49597 has no twin: neither 49595 nor 49599 is prime.
Primes around the 5094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
| 5093 | 49559 | 10 |
| 5094 | 49597 | 38 |
| 5095 | 49603 | 6 |
| 5096 | 49613 | 10 |
| 5097 | 49627 | 14 |
Questions
What is the 5094th prime number?
49597.
Which prime number is 49597?
49597 is the 5094th prime number.
What is the sum of the first 5094 primes?
119,071,101.