What is the 160th prime number?
The 160th prime number is 941. The next prime is 947 (a gap of 6) and the one before is 937.
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 160th one is 941.
- 2
941 is prime because no prime up to ā941 ā 30.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 160th prime is close to 160 Ć ln(160) ā 812, and here it is 941.
- 4
941 has no twin: neither 939 nor 943 is prime.
Primes around the 160th
| Position | Prime | Gap from the previous |
|---|---|---|
| 157 | 919 | 8 |
| 158 | 929 | 10 |
| 159 | 937 | 8 |
| 160 | 941 | 4 |
| 161 | 947 | 6 |
| 162 | 953 | 6 |
| 163 | 967 | 14 |
Questions
What is the 160th prime number?
941.
Which prime number is 941?
941 is the 160th prime number.
What is the sum of the first 160 primes?
68,341.