What is the 156th prime number?
The 156th prime number is 911. The next prime is 919 (a gap of 8) and the one before is 907.
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 156th one is 911.
- 2
911 is prime because no prime up to ā911 ā 30.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 156th prime is close to 156 Ć ln(156) ā 788, and here it is 911.
- 4
911 has no twin: neither 909 nor 913 is prime.
Primes around the 156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 153 | 883 | 2 |
| 154 | 887 | 4 |
| 155 | 907 | 20 |
| 156 | 911 | 4 |
| 157 | 919 | 8 |
| 158 | 929 | 10 |
| 159 | 937 | 8 |
Questions
What is the 156th prime number?
911.
Which prime number is 911?
911 is the 156th prime number.
What is the sum of the first 156 primes?
64,615.