What is the 6163rd prime number?
The 6163rd prime number is 61231. The next prime is 61253 (a gap of 22) and the one before is 61223.
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 6163rd one is 61231.
- 2
61231 is prime because no prime up to ā61231 ā 247.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6163rd prime is close to 6163 Ć ln(6163) ā 53780, and here it is 61231.
- 4
61231 has no twin: neither 61229 nor 61233 is prime.
Primes around the 6163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6160 | 61169 | 16 |
| 6161 | 61211 | 42 |
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
| 6166 | 61283 | 22 |
Questions
What is the 6163rd prime number?
61231.
Which prime number is 61231?
61231 is the 6163rd prime number.
What is the sum of the first 6163 primes?
178,272,432.