What is the 6173rd prime number?
The 6173rd prime number is 61357. The next prime is 61363 (a gap of 6) and the one before is 61343.
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 6173rd one is 61357.
- 2
61357 is prime because no prime up to ā61357 ā 247.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6173rd prime is close to 6173 Ć ln(6173) ā 53878, and here it is 61357.
- 4
61357 has no twin: neither 61355 nor 61359 is prime.
Primes around the 6173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6170 | 61333 | 2 |
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
| 6175 | 61379 | 16 |
| 6176 | 61381 | 2 |
Questions
What is the 6173rd prime number?
61357.
Which prime number is 61357?
61357 is the 6173rd prime number.
What is the sum of the first 6173 primes?
178,885,520.