What is the 159th prime number?
The 159th prime number is 937. The next prime is 941 (a gap of 4) and the one before is 929.
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 159th one is 937.
- 2
937 is prime because no prime up to ā937 ā 30.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 159th prime is close to 159 Ć ln(159) ā 806, and here it is 937.
- 4
937 has no twin: neither 935 nor 939 is prime.
Primes around the 159th
| Position | Prime | Gap from the previous |
|---|---|---|
| 156 | 911 | 4 |
| 157 | 919 | 8 |
| 158 | 929 | 10 |
| 159 | 937 | 8 |
| 160 | 941 | 4 |
| 161 | 947 | 6 |
| 162 | 953 | 6 |
Questions
What is the 159th prime number?
937.
Which prime number is 937?
937 is the 159th prime number.
What is the sum of the first 159 primes?
67,400.