What is the 3158th prime number?
The 3158th prime number is 29027. The next prime is 29033 (a gap of 6) and the one before is 29023.
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 3158th one is 29027.
- 2
29027 is prime because no prime up to ā29027 ā 170.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3158th prime is close to 3158 Ć ln(3158) ā 25446, and here it is 29027.
- 4
29027 has no twin: neither 29025 nor 29029 is prime.
Primes around the 3158th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
Questions
What is the 3158th prime number?
29027.
Which prime number is 29027?
29027 is the 3158th prime number.
What is the sum of the first 3158 primes?
43,109,587.