What is the 6160th prime number?
The 6160th prime number is 61169. The next prime is 61211 (a gap of 42) and the one before is 61153.
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 6160th one is 61169.
- 2
61169 is prime because no prime up to ā61169 ā 247.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6160th prime is close to 6160 Ć ln(6160) ā 53751, and here it is 61169.
- 4
61169 has no twin: neither 61167 nor 61171 is prime.
Primes around the 6160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6157 | 61141 | 12 |
| 6158 | 61151 | 10 |
| 6159 | 61153 | 2 |
| 6160 | 61169 | 16 |
| 6161 | 61211 | 42 |
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
Questions
What is the 6160th prime number?
61169.
Which prime number is 61169?
61169 is the 6160th prime number.
What is the sum of the first 6160 primes?
178,088,767.