What is the 158th prime number?
The 158th prime number is 929. The next prime is 937 (a gap of 8) and the one before is 919.
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 158th one is 929.
- 2
929 is prime because no prime up to ā929 ā 30.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 158th prime is close to 158 Ć ln(158) ā 800, and here it is 929.
- 4
929 has no twin: neither 927 nor 931 is prime.
Primes around the 158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 155 | 907 | 20 |
| 156 | 911 | 4 |
| 157 | 919 | 8 |
| 158 | 929 | 10 |
| 159 | 937 | 8 |
| 160 | 941 | 4 |
| 161 | 947 | 6 |
Questions
What is the 158th prime number?
929.
Which prime number is 929?
929 is the 158th prime number.
What is the sum of the first 158 primes?
66,463.