What is the 6161st prime number?
The 6161st prime number is 61211. The next prime is 61223 (a gap of 12) and the one before is 61169.
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 6161st one is 61211.
- 2
61211 is prime because no prime up to ā61211 ā 247.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6161st prime is close to 6161 Ć ln(6161) ā 53761, and here it is 61211.
- 4
61211 has no twin: neither 61209 nor 61213 is prime.
Primes around the 6161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6158 | 61151 | 10 |
| 6159 | 61153 | 2 |
| 6160 | 61169 | 16 |
| 6161 | 61211 | 42 |
| 6162 | 61223 | 12 |
| 6163 | 61231 | 8 |
| 6164 | 61253 | 22 |
Questions
What is the 6161st prime number?
61211.
Which prime number is 61211?
61211 is the 6161st prime number.
What is the sum of the first 6161 primes?
178,149,978.