What is the 3157th prime number?
The 3157th prime number is 29023. The next prime is 29027 (a gap of 4) and the one before is 29021.
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 3157th one is 29023.
- 2
29023 is prime because no prime up to ā29023 ā 170.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3157th prime is close to 3157 Ć ln(3157) ā 25437, and here it is 29023.
- 4
29023 is a twin prime: 29021 and 29023 are both prime.
Primes around the 3157th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3154 | 29009 | 30 |
| 3155 | 29017 | 8 |
| 3156 | 29021 | 4 |
| 3157 | 29023 | 2 |
| 3158 | 29027 | 4 |
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
Questions
What is the 3157th prime number?
29023.
Which prime number is 29023?
29023 is the 3157th prime number.
What is the sum of the first 3157 primes?
43,080,560.