What is the 6193rd prime number?
The 6193rd prime number is 61559. The next prime is 61561 (a gap of 2) and the one before is 61553.
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 6193rd one is 61559.
- 2
61559 is prime because no prime up to ā61559 ā 248.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6193rd prime is close to 6193 Ć ln(6193) ā 54072, and here it is 61559.
- 4
61559 is a twin prime: 61559 and 61561 are both prime.
Primes around the 6193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6190 | 61543 | 24 |
| 6191 | 61547 | 4 |
| 6192 | 61553 | 6 |
| 6193 | 61559 | 6 |
| 6194 | 61561 | 2 |
| 6195 | 61583 | 22 |
| 6196 | 61603 | 20 |
Questions
What is the 6193rd prime number?
61559.
Which prime number is 61559?
61559 is the 6193rd prime number.
What is the sum of the first 6193 primes?
180,114,918.