What is the 2156th prime number?
The 2156th prime number is 18959. The next prime is 18973 (a gap of 14) and the one before is 18947.
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 2156th one is 18959.
- 2
18959 is prime because no prime up to ā18959 ā 137.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2156th prime is close to 2156 Ć ln(2156) ā 16549, and here it is 18959.
- 4
18959 has no twin: neither 18957 nor 18961 is prime.
Primes around the 2156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2153 | 18917 | 4 |
| 2154 | 18919 | 2 |
| 2155 | 18947 | 28 |
| 2156 | 18959 | 12 |
| 2157 | 18973 | 14 |
| 2158 | 18979 | 6 |
| 2159 | 19001 | 22 |
Questions
What is the 2156th prime number?
18959.
Which prime number is 18959?
18959 is the 2156th prime number.
What is the sum of the first 2156 primes?
19,104,477.