What is the 161st prime number?
The 161st prime number is 947. The next prime is 953 (a gap of 6) and the one before is 941.
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 161st one is 947.
- 2
947 is prime because no prime up to ā947 ā 30.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 161st prime is close to 161 Ć ln(161) ā 818, and here it is 947.
- 4
947 has no twin: neither 945 nor 949 is prime.
Primes around the 161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 158 | 929 | 10 |
| 159 | 937 | 8 |
| 160 | 941 | 4 |
| 161 | 947 | 6 |
| 162 | 953 | 6 |
| 163 | 967 | 14 |
| 164 | 971 | 4 |
Questions
What is the 161st prime number?
947.
Which prime number is 947?
947 is the 161st prime number.
What is the sum of the first 161 primes?
69,288.