What is the 3156th prime number?
The 3156th prime number is 29021. The next prime is 29023 (a gap of 2) and the one before is 29017.
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 3156th one is 29021.
- 2
29021 is prime because no prime up to ā29021 ā 170.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3156th prime is close to 3156 Ć ln(3156) ā 25428, and here it is 29021.
- 4
29021 is a twin prime: 29021 and 29023 are both prime.
Primes around the 3156th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3153 | 28979 | 18 |
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
Questions
What is the 3156th prime number?
29021.
Which prime number is 29021?
29021 is the 3156th prime number.
What is the sum of the first 3156 primes?
43,051,537.