What is the 162nd prime number?
The 162nd prime number is 953. The next prime is 967 (a gap of 14) and the one before is 947.
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 162nd one is 953.
- 2
953 is prime because no prime up to ā953 ā 30.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 162nd prime is close to 162 Ć ln(162) ā 824, and here it is 953.
- 4
953 has no twin: neither 951 nor 955 is prime.
Primes around the 162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 159 | 937 | 8 |
| 160 | 941 | 4 |
| 161 | 947 | 6 |
| 162 | 953 | 6 |
| 163 | 967 | 14 |
| 164 | 971 | 4 |
| 165 | 977 | 6 |
Questions
What is the 162nd prime number?
953.
Which prime number is 953?
953 is the 162nd prime number.
What is the sum of the first 162 primes?
70,241.