What is the 6172nd prime number?
The 6172nd prime number is 61343. The next prime is 61357 (a gap of 14) and the one before is 61339.
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 6172nd one is 61343.
- 2
61343 is prime because no prime up to ā61343 ā 247.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6172nd prime is close to 6172 Ć ln(6172) ā 53868, and here it is 61343.
- 4
61343 has no twin: neither 61341 nor 61345 is prime.
Primes around the 6172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6169 | 61331 | 34 |
| 6170 | 61333 | 2 |
| 6171 | 61339 | 6 |
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
| 6175 | 61379 | 16 |
Questions
What is the 6172nd prime number?
61343.
Which prime number is 61343?
61343 is the 6172nd prime number.
What is the sum of the first 6172 primes?
178,824,163.