What is the 6162nd prime number?
The 6162nd prime number is 61223. The next prime is 61231 (a gap of 8) and the one before is 61211.
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 6162nd one is 61223.
- 2
61223 is prime because no prime up to ā61223 ā 247.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6162nd prime is close to 6162 Ć ln(6162) ā 53771, and here it is 61223.
- 4
61223 has no twin: neither 61221 nor 61225 is prime.
Primes around the 6162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6159 | 61153 | 2 |
| 6160 | 61169 | 16 |
| 6161 | 61211 | 42 |
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
| 6165 | 61261 | 8 |
Questions
What is the 6162nd prime number?
61223.
Which prime number is 61223?
61223 is the 6162nd prime number.
What is the sum of the first 6162 primes?
178,211,201.